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Finding the Third Proportional to 80,470.69 and 174,768.19

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Solution

The third proportional to 80,470.69 and 174,768.19 is: 379,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,470.69 : 174,768.19 = 174,768.19 : x
  2. Step 2: Convert to fraction form
    80,470.69/174,768.19 = 174,768.19/x
  3. Step 3: Cross multiply
    80,470.69x = 174,768.19 × 174,768.19
  4. Step 4: Simplify right side
    80,470.69x = 30,543,919,362.04
  5. Step 5: Solve for x
    x = 30,543,919,362.04/80,470.69
  6. Step 6: Final answer
    x = 379,565.78

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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.