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Discrepancy Between Popular Vote and Congressional Representation

How did I not realize this before? Here are the results of the 2012 elections - total popular vote, and how it ended up in representation.

Popular Vote
Democratic
  
48.75%
Republican
  
47.59%
Libertarian
  
1.12%
Green
  
0.30%
Other
  
2.24%
House seats
Republican
  
53.79%
Democratic
  
46.21%
Chart copied from Wikipedia

How is it possible that the party with more popular support in the country ends up with significantly less than half of the representatives? And by popular support, I don't just mean asking people on the street who they like, I mean as actually measured by voting (i.e. not just lack of voter turnout). It would be tempting to blame it on gerrymandering, but it looks like there's probably more to it. Still, it's rather troubling that the party that the plurality voters wanted ends up getting minority representation.

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