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Finding the Third Proportional to 176,790 and 381,591

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Solution

The third proportional to 176,790 and 381,591 is: 823,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,790 : 381,591 = 381,591 : x
  2. Step 2: Convert to fraction form
    176,790/381,591 = 381,591/x
  3. Step 3: Cross multiply
    176,790x = 381,591 × 381,591
  4. Step 4: Simplify right side
    176,790x = 145,611,691,281
  5. Step 5: Solve for x
    x = 145,611,691,281/176,790
  6. Step 6: Final answer
    x = 823,642.13

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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.