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Finding the Third Proportional to 201,708 and 267,569

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Solution

The third proportional to 201,708 and 267,569 is: 354,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,708 : 267,569 = 267,569 : x
  2. Step 2: Convert to fraction form
    201,708/267,569 = 267,569/x
  3. Step 3: Cross multiply
    201,708x = 267,569 × 267,569
  4. Step 4: Simplify right side
    201,708x = 71,593,169,761
  5. Step 5: Solve for x
    x = 71,593,169,761/201,708
  6. Step 6: Final answer
    x = 354,934.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.