halfway points
Need to give a specific point in NC... it's a pretty substantially sized state, after all, and the distance from, say, Rocky Mount will be significantly different than it will be from Charlotte, as will the halfway point.
Rochelle, Virginia is halfway between State College & Raleigh
Well, honey, the state that's smack dab in the middle of Washington state and Lawrenceville, PA is good ol' South Dakota. So, if you're planning a road trip and need a pit stop, you might want to consider Mount Rushmore or the Badlands. Just make sure to pack some snacks for the long drive!
Pennsylvania
NM
Mississippi
Tennessee
Kansas
Tennessee
No, but Sacramento is the state capital of the golden state, California.
Denver, Colorado is about halfway.