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Finding the Third Proportional to 177,087.38 and 199,230.75

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Solution

The third proportional to 177,087.38 and 199,230.75 is: 224,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,087.38 : 199,230.75 = 199,230.75 : x
  2. Step 2: Convert to fraction form
    177,087.38/199,230.75 = 199,230.75/x
  3. Step 3: Cross multiply
    177,087.38x = 199,230.75 × 199,230.75
  4. Step 4: Simplify right side
    177,087.38x = 39,692,891,745.56
  5. Step 5: Solve for x
    x = 39,692,891,745.56/177,087.38
  6. Step 6: Final answer
    x = 224,142.98

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.