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Finding the Third Proportional to 80,831 and 175,652

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Solution

The third proportional to 80,831 and 175,652 is: 381,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,831 : 175,652 = 175,652 : x
  2. Step 2: Convert to fraction form
    80,831/175,652 = 175,652/x
  3. Step 3: Cross multiply
    80,831x = 175,652 × 175,652
  4. Step 4: Simplify right side
    80,831x = 30,853,625,104
  5. Step 5: Solve for x
    x = 30,853,625,104/80,831
  6. Step 6: Final answer
    x = 381,705.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.