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Finding the Third Proportional to 80,188.50 and 174,036.75

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Solution

The third proportional to 80,188.50 and 174,036.75 is: 377,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,188.50 : 174,036.75 = 174,036.75 : x
  2. Step 2: Convert to fraction form
    80,188.50/174,036.75 = 174,036.75/x
  3. Step 3: Cross multiply
    80,188.50x = 174,036.75 × 174,036.75
  4. Step 4: Simplify right side
    80,188.50x = 30,288,790,350.56
  5. Step 5: Solve for x
    x = 30,288,790,350.56/80,188.50
  6. Step 6: Final answer
    x = 377,719.88

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Why These Related Problems?

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