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Finding the Third Proportional to 80,470.13 and 176,700.38

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Solution

The third proportional to 80,470.13 and 176,700.38 is: 388,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,470.13 : 176,700.38 = 176,700.38 : x
  2. Step 2: Convert to fraction form
    80,470.13/176,700.38 = 176,700.38/x
  3. Step 3: Cross multiply
    80,470.13x = 176,700.38 × 176,700.38
  4. Step 4: Simplify right side
    80,470.13x = 31,223,022,525.14
  5. Step 5: Solve for x
    x = 31,223,022,525.14/80,470.13
  6. Step 6: Final answer
    x = 388,007.63

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Why These Related Problems?

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