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Finding the Third Proportional to 168,862 and 267,387

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Solution

The third proportional to 168,862 and 267,387 is: 423,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,862 : 267,387 = 267,387 : x
  2. Step 2: Convert to fraction form
    168,862/267,387 = 267,387/x
  3. Step 3: Cross multiply
    168,862x = 267,387 × 267,387
  4. Step 4: Simplify right side
    168,862x = 71,495,807,769
  5. Step 5: Solve for x
    x = 71,495,807,769/168,862
  6. Step 6: Final answer
    x = 423,397.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.