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Finding the Third Proportional to 159,682 and 250,494

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Solution

The third proportional to 159,682 and 250,494 is: 392,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,682 : 250,494 = 250,494 : x
  2. Step 2: Convert to fraction form
    159,682/250,494 = 250,494/x
  3. Step 3: Cross multiply
    159,682x = 250,494 × 250,494
  4. Step 4: Simplify right side
    159,682x = 62,747,244,036
  5. Step 5: Solve for x
    x = 62,747,244,036/159,682
  6. Step 6: Final answer
    x = 392,951.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.