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Finding the Third Proportional to 177,836.25 and 266,760.75

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Solution

The third proportional to 177,836.25 and 266,760.75 is: 400,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,836.25 : 266,760.75 = 266,760.75 : x
  2. Step 2: Convert to fraction form
    177,836.25/266,760.75 = 266,760.75/x
  3. Step 3: Cross multiply
    177,836.25x = 266,760.75 × 266,760.75
  4. Step 4: Simplify right side
    177,836.25x = 71,161,297,740.56
  5. Step 5: Solve for x
    x = 71,161,297,740.56/177,836.25
  6. Step 6: Final answer
    x = 400,150.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.