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Finding the Third Proportional to 169,396 and 267,966

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Solution

The third proportional to 169,396 and 267,966 is: 423,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,396 : 267,966 = 267,966 : x
  2. Step 2: Convert to fraction form
    169,396/267,966 = 267,966/x
  3. Step 3: Cross multiply
    169,396x = 267,966 × 267,966
  4. Step 4: Simplify right side
    169,396x = 71,805,777,156
  5. Step 5: Solve for x
    x = 71,805,777,156/169,396
  6. Step 6: Final answer
    x = 423,892.99

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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.