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Finding the Third Proportional to 177,687.38 and 419,458.88

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Solution

The third proportional to 177,687.38 and 419,458.88 is: 990,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,687.38 : 419,458.88 = 419,458.88 : x
  2. Step 2: Convert to fraction form
    177,687.38/419,458.88 = 419,458.88/x
  3. Step 3: Cross multiply
    177,687.38x = 419,458.88 × 419,458.88
  4. Step 4: Simplify right side
    177,687.38x = 175,945,747,816.27
  5. Step 5: Solve for x
    x = 175,945,747,816.27/177,687.38
  6. Step 6: Final answer
    x = 990,198.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.