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Finding the Third Proportional to 172,327 and 252,483

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Solution

The third proportional to 172,327 and 252,483 is: 369,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,327 : 252,483 = 252,483 : x
  2. Step 2: Convert to fraction form
    172,327/252,483 = 252,483/x
  3. Step 3: Cross multiply
    172,327x = 252,483 × 252,483
  4. Step 4: Simplify right side
    172,327x = 63,747,665,289
  5. Step 5: Solve for x
    x = 63,747,665,289/172,327
  6. Step 6: Final answer
    x = 369,922.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.