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Finding the Third Proportional to 234,624 and 334,296

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Solution

The third proportional to 234,624 and 334,296 is: 476,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,624 : 334,296 = 334,296 : x
  2. Step 2: Convert to fraction form
    234,624/334,296 = 334,296/x
  3. Step 3: Cross multiply
    234,624x = 334,296 × 334,296
  4. Step 4: Simplify right side
    234,624x = 111,753,815,616
  5. Step 5: Solve for x
    x = 111,753,815,616/234,624
  6. Step 6: Final answer
    x = 476,310.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.