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Finding the Third Proportional to 177,982 and 275,493

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Solution

The third proportional to 177,982 and 275,493 is: 426,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,982 : 275,493 = 275,493 : x
  2. Step 2: Convert to fraction form
    177,982/275,493 = 275,493/x
  3. Step 3: Cross multiply
    177,982x = 275,493 × 275,493
  4. Step 4: Simplify right side
    177,982x = 75,896,393,049
  5. Step 5: Solve for x
    x = 75,896,393,049/177,982
  6. Step 6: Final answer
    x = 426,427.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.