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Finding the Third Proportional to 80,922 and 177,396

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Solution

The third proportional to 80,922 and 177,396 is: 388,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,922 : 177,396 = 177,396 : x
  2. Step 2: Convert to fraction form
    80,922/177,396 = 177,396/x
  3. Step 3: Cross multiply
    80,922x = 177,396 × 177,396
  4. Step 4: Simplify right side
    80,922x = 31,469,340,816
  5. Step 5: Solve for x
    x = 31,469,340,816/80,922
  6. Step 6: Final answer
    x = 388,884.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.