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Finding the Third Proportional to 171,686 and 252,568

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Solution

The third proportional to 171,686 and 252,568 is: 371,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,686 : 252,568 = 252,568 : x
  2. Step 2: Convert to fraction form
    171,686/252,568 = 252,568/x
  3. Step 3: Cross multiply
    171,686x = 252,568 × 252,568
  4. Step 4: Simplify right side
    171,686x = 63,790,594,624
  5. Step 5: Solve for x
    x = 63,790,594,624/171,686
  6. Step 6: Final answer
    x = 371,553.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.