You should be able to remove every other strip or so and stagger the joints to blend in the patch. You can likely find replacement materials in a closet or other obscure place to do the fill. Plan on refinishing the entire floor to blend in the patched area. As for the area where you retrieve your patch material, either find salvage or new material to replace OR use a different type of flooring in that area.
I suffer from CDO ... Its like OCD, but in alphabetical order, LIKE IT SHOULD BE!!!