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Finding the Third Proportional to 87,366 and 205,374

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Solution

The third proportional to 87,366 and 205,374 is: 482,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,366 : 205,374 = 205,374 : x
  2. Step 2: Convert to fraction form
    87,366/205,374 = 205,374/x
  3. Step 3: Cross multiply
    87,366x = 205,374 × 205,374
  4. Step 4: Simplify right side
    87,366x = 42,178,479,876
  5. Step 5: Solve for x
    x = 42,178,479,876/87,366
  6. Step 6: Final answer
    x = 482,779.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.