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Finding the Third Proportional to 177,665 and 381,682

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Solution

The third proportional to 177,665 and 381,682 is: 819,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,665 : 381,682 = 381,682 : x
  2. Step 2: Convert to fraction form
    177,665/381,682 = 381,682/x
  3. Step 3: Cross multiply
    177,665x = 381,682 × 381,682
  4. Step 4: Simplify right side
    177,665x = 145,681,149,124
  5. Step 5: Solve for x
    x = 145,681,149,124/177,665
  6. Step 6: Final answer
    x = 819,976.64

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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.