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Finding the Third Proportional to 169,291 and 267,838

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Solution

The third proportional to 169,291 and 267,838 is: 423,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,291 : 267,838 = 267,838 : x
  2. Step 2: Convert to fraction form
    169,291/267,838 = 267,838/x
  3. Step 3: Cross multiply
    169,291x = 267,838 × 267,838
  4. Step 4: Simplify right side
    169,291x = 71,737,194,244
  5. Step 5: Solve for x
    x = 71,737,194,244/169,291
  6. Step 6: Final answer
    x = 423,750.79

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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.