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Finding the Third Proportional to 87,843 and 193,180

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Solution

The third proportional to 87,843 and 193,180 is: 424,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,843 : 193,180 = 193,180 : x
  2. Step 2: Convert to fraction form
    87,843/193,180 = 193,180/x
  3. Step 3: Cross multiply
    87,843x = 193,180 × 193,180
  4. Step 4: Simplify right side
    87,843x = 37,318,512,400
  5. Step 5: Solve for x
    x = 37,318,512,400/87,843
  6. Step 6: Final answer
    x = 424,831.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.