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Finding the Third Proportional to 187.97 and 371.44

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Solution

The third proportional to 187.97 and 371.44 is: 733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 371.44 = 371.44 : x
  2. Step 2: Convert to fraction form
    187.97/371.44 = 371.44/x
  3. Step 3: Cross multiply
    187.97x = 371.44 × 371.44
  4. Step 4: Simplify right side
    187.97x = 137,965.82
  5. Step 5: Solve for x
    x = 137,965.82/187.97
  6. Step 6: Final answer
    x = 733.98

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.