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Finding the Third Proportional to 187,940.25 and 271,542.38

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Solution

The third proportional to 187,940.25 and 271,542.38 is: 392,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,940.25 : 271,542.38 = 271,542.38 : x
  2. Step 2: Convert to fraction form
    187,940.25/271,542.38 = 271,542.38/x
  3. Step 3: Cross multiply
    187,940.25x = 271,542.38 × 271,542.38
  4. Step 4: Simplify right side
    187,940.25x = 73,735,261,420.64
  5. Step 5: Solve for x
    x = 73,735,261,420.64/187,940.25
  6. Step 6: Final answer
    x = 392,333.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.