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Finding the Third Proportional to 80,482 and 171,359

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Solution

The third proportional to 80,482 and 171,359 is: 364,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,482 : 171,359 = 171,359 : x
  2. Step 2: Convert to fraction form
    80,482/171,359 = 171,359/x
  3. Step 3: Cross multiply
    80,482x = 171,359 × 171,359
  4. Step 4: Simplify right side
    80,482x = 29,363,906,881
  5. Step 5: Solve for x
    x = 29,363,906,881/80,482
  6. Step 6: Final answer
    x = 364,850.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.