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Finding the Third Proportional to 80,326.75 and 174,481.38

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Solution

The third proportional to 80,326.75 and 174,481.38 is: 378,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,326.75 : 174,481.38 = 174,481.38 : x
  2. Step 2: Convert to fraction form
    80,326.75/174,481.38 = 174,481.38/x
  3. Step 3: Cross multiply
    80,326.75x = 174,481.38 × 174,481.38
  4. Step 4: Simplify right side
    80,326.75x = 30,443,750,221.89
  5. Step 5: Solve for x
    x = 30,443,750,221.89/80,326.75
  6. Step 6: Final answer
    x = 378,998.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.