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Finding the Third Proportional to 80,917 and 176,584

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Solution

The third proportional to 80,917 and 176,584 is: 385,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,917 : 176,584 = 176,584 : x
  2. Step 2: Convert to fraction form
    80,917/176,584 = 176,584/x
  3. Step 3: Cross multiply
    80,917x = 176,584 × 176,584
  4. Step 4: Simplify right side
    80,917x = 31,181,909,056
  5. Step 5: Solve for x
    x = 31,181,909,056/80,917
  6. Step 6: Final answer
    x = 385,356.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.