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Finding the Third Proportional to 168,099 and 252,327

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Solution

The third proportional to 168,099 and 252,327 is: 378,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,099 : 252,327 = 252,327 : x
  2. Step 2: Convert to fraction form
    168,099/252,327 = 252,327/x
  3. Step 3: Cross multiply
    168,099x = 252,327 × 252,327
  4. Step 4: Simplify right side
    168,099x = 63,668,914,929
  5. Step 5: Solve for x
    x = 63,668,914,929/168,099
  6. Step 6: Final answer
    x = 378,758.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.