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Finding the Third Proportional to 187,032 and 270,720

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Solution

The third proportional to 187,032 and 270,720 is: 391,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,032 : 270,720 = 270,720 : x
  2. Step 2: Convert to fraction form
    187,032/270,720 = 270,720/x
  3. Step 3: Cross multiply
    187,032x = 270,720 × 270,720
  4. Step 4: Simplify right side
    187,032x = 73,289,318,400
  5. Step 5: Solve for x
    x = 73,289,318,400/187,032
  6. Step 6: Final answer
    x = 391,854.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.