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Finding the Third Proportional to 80,840 and 177,568

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Solution

The third proportional to 80,840 and 177,568 is: 390,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,840 : 177,568 = 177,568 : x
  2. Step 2: Convert to fraction form
    80,840/177,568 = 177,568/x
  3. Step 3: Cross multiply
    80,840x = 177,568 × 177,568
  4. Step 4: Simplify right side
    80,840x = 31,530,394,624
  5. Step 5: Solve for x
    x = 31,530,394,624/80,840
  6. Step 6: Final answer
    x = 390,034.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.