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Finding the Third Proportional to 234,134 and 334,591

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Solution

The third proportional to 234,134 and 334,591 is: 478,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,134 : 334,591 = 334,591 : x
  2. Step 2: Convert to fraction form
    234,134/334,591 = 334,591/x
  3. Step 3: Cross multiply
    234,134x = 334,591 × 334,591
  4. Step 4: Simplify right side
    234,134x = 111,951,137,281
  5. Step 5: Solve for x
    x = 111,951,137,281/234,134
  6. Step 6: Final answer
    x = 478,149.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.