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Finding the Third Proportional to 234,714.38 and 353,166.75

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Solution

The third proportional to 234,714.38 and 353,166.75 is: 531,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,714.38 : 353,166.75 = 353,166.75 : x
  2. Step 2: Convert to fraction form
    234,714.38/353,166.75 = 353,166.75/x
  3. Step 3: Cross multiply
    234,714.38x = 353,166.75 × 353,166.75
  4. Step 4: Simplify right side
    234,714.38x = 124,726,753,305.56
  5. Step 5: Solve for x
    x = 124,726,753,305.56/234,714.38
  6. Step 6: Final answer
    x = 531,398.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.