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Finding the Third Proportional to 83,160 and 178,227

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Solution

The third proportional to 83,160 and 178,227 is: 381,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,160 : 178,227 = 178,227 : x
  2. Step 2: Convert to fraction form
    83,160/178,227 = 178,227/x
  3. Step 3: Cross multiply
    83,160x = 178,227 × 178,227
  4. Step 4: Simplify right side
    83,160x = 31,764,863,529
  5. Step 5: Solve for x
    x = 31,764,863,529/83,160
  6. Step 6: Final answer
    x = 381,972.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.