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Finding the Third Proportional to 168,854 and 267,375

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Solution

The third proportional to 168,854 and 267,375 is: 423,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,854 : 267,375 = 267,375 : x
  2. Step 2: Convert to fraction form
    168,854/267,375 = 267,375/x
  3. Step 3: Cross multiply
    168,854x = 267,375 × 267,375
  4. Step 4: Simplify right side
    168,854x = 71,489,390,625
  5. Step 5: Solve for x
    x = 71,489,390,625/168,854
  6. Step 6: Final answer
    x = 423,379.91

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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.