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Finding the Third Proportional to 169,416 and 267,996

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Solution

The third proportional to 169,416 and 267,996 is: 423,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,416 : 267,996 = 267,996 : x
  2. Step 2: Convert to fraction form
    169,416/267,996 = 267,996/x
  3. Step 3: Cross multiply
    169,416x = 267,996 × 267,996
  4. Step 4: Simplify right side
    169,416x = 71,821,856,016
  5. Step 5: Solve for x
    x = 71,821,856,016/169,416
  6. Step 6: Final answer
    x = 423,937.86

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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.