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Finding the Third Proportional to 177,624 and 381,600

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Solution

The third proportional to 177,624 and 381,600 is: 819,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,624 : 381,600 = 381,600 : x
  2. Step 2: Convert to fraction form
    177,624/381,600 = 381,600/x
  3. Step 3: Cross multiply
    177,624x = 381,600 × 381,600
  4. Step 4: Simplify right side
    177,624x = 145,618,560,000
  5. Step 5: Solve for x
    x = 145,618,560,000/177,624
  6. Step 6: Final answer
    x = 819,813.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.