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Finding the Third Proportional to 80,466 and 171,327

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Solution

The third proportional to 80,466 and 171,327 is: 364,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,466 : 171,327 = 171,327 : x
  2. Step 2: Convert to fraction form
    80,466/171,327 = 171,327/x
  3. Step 3: Cross multiply
    80,466x = 171,327 × 171,327
  4. Step 4: Simplify right side
    80,466x = 29,352,940,929
  5. Step 5: Solve for x
    x = 29,352,940,929/80,466
  6. Step 6: Final answer
    x = 364,786.88

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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.