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Finding the Third Proportional to 169,204 and 267,735

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Solution

The third proportional to 169,204 and 267,735 is: 423,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,204 : 267,735 = 267,735 : x
  2. Step 2: Convert to fraction form
    169,204/267,735 = 267,735/x
  3. Step 3: Cross multiply
    169,204x = 267,735 × 267,735
  4. Step 4: Simplify right side
    169,204x = 71,682,030,225
  5. Step 5: Solve for x
    x = 71,682,030,225/169,204
  6. Step 6: Final answer
    x = 423,642.65

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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.