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Finding the Third Proportional to 132,676 and 280,327

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Solution

The third proportional to 132,676 and 280,327 is: 592,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,676 : 280,327 = 280,327 : x
  2. Step 2: Convert to fraction form
    132,676/280,327 = 280,327/x
  3. Step 3: Cross multiply
    132,676x = 280,327 × 280,327
  4. Step 4: Simplify right side
    132,676x = 78,583,226,929
  5. Step 5: Solve for x
    x = 78,583,226,929/132,676
  6. Step 6: Final answer
    x = 592,294.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.