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Finding the Third Proportional to 181,657.69 and 267,360.75

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Solution

The third proportional to 181,657.69 and 267,360.75 is: 393,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,657.69 : 267,360.75 = 267,360.75 : x
  2. Step 2: Convert to fraction form
    181,657.69/267,360.75 = 267,360.75/x
  3. Step 3: Cross multiply
    181,657.69x = 267,360.75 × 267,360.75
  4. Step 4: Simplify right side
    181,657.69x = 71,481,770,640.56
  5. Step 5: Solve for x
    x = 71,481,770,640.56/181,657.69
  6. Step 6: Final answer
    x = 393,497.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.