IMO get all unfinished hardwood and have it all stained to match the exisiting hardwood there is no reason to not have wood in the kitchen and all one flooring material is always the best choice.

Patricia is right, BUT if you love that tile, I wonder if there’s another place to transition then the end of the hall so that you can keep some it in the main cooking are of the kitchen but still carry a wood through from your entry to the back room.

Can you post a floor plan or other photo?

What type of hardwood do you have in the front of the house? Hard to tell from the photo. In any case, if it's actual hardwood and not engineered flooring you should be able to match the wood species and have it stained to match, as Patricia suggests above. Doesn't matter if the specific flooring is discontinued--if it's oak, for example, any unfinished oak flooring with the same size plank will work.

The hardwoods is a hickory soft scrape.

So extending the tile with a similar color wood in the back room wouldn’t be the best idea due to the fact that even though the color is extended, it’s a different material?

I don't see how that fixes your multiple flooring dilemma; it's still three different floors on a single level, which is not ideal.

Sabrina - Yes, that’s correct. I was wondering if it being the same color helped with the “flow” that one floor would create. Of course, I want to do this right but want to understand if keeping the tile floor, since so new, would work well.