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Finding the Third Proportional to 168,930 and 267,471

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Solution

The third proportional to 168,930 and 267,471 is: 423,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,930 : 267,471 = 267,471 : x
  2. Step 2: Convert to fraction form
    168,930/267,471 = 267,471/x
  3. Step 3: Cross multiply
    168,930x = 267,471 × 267,471
  4. Step 4: Simplify right side
    168,930x = 71,540,735,841
  5. Step 5: Solve for x
    x = 71,540,735,841/168,930
  6. Step 6: Final answer
    x = 423,493.38

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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.