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Finding the Third Proportional to 81,797 and 176,481

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Solution

The third proportional to 81,797 and 176,481 is: 380,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,797 : 176,481 = 176,481 : x
  2. Step 2: Convert to fraction form
    81,797/176,481 = 176,481/x
  3. Step 3: Cross multiply
    81,797x = 176,481 × 176,481
  4. Step 4: Simplify right side
    81,797x = 31,145,543,361
  5. Step 5: Solve for x
    x = 31,145,543,361/81,797
  6. Step 6: Final answer
    x = 380,766.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.