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Finding the Third Proportional to 63,884 and 140,324

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Solution

The third proportional to 63,884 and 140,324 is: 308,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,884 : 140,324 = 140,324 : x
  2. Step 2: Convert to fraction form
    63,884/140,324 = 140,324/x
  3. Step 3: Cross multiply
    63,884x = 140,324 × 140,324
  4. Step 4: Simplify right side
    63,884x = 19,690,824,976
  5. Step 5: Solve for x
    x = 19,690,824,976/63,884
  6. Step 6: Final answer
    x = 308,227.80

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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.