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Finding the Third Proportional to 177,850.69 and 207,375.19

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Solution

The third proportional to 177,850.69 and 207,375.19 is: 241,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,850.69 : 207,375.19 = 207,375.19 : x
  2. Step 2: Convert to fraction form
    177,850.69/207,375.19 = 207,375.19/x
  3. Step 3: Cross multiply
    177,850.69x = 207,375.19 × 207,375.19
  4. Step 4: Simplify right side
    177,850.69x = 43,004,468,390.66
  5. Step 5: Solve for x
    x = 43,004,468,390.66/177,850.69
  6. Step 6: Final answer
    x = 241,800.97

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.