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Finding the Third Proportional to 187.88 and 211.97

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Solution

The third proportional to 187.88 and 211.97 is: 239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 211.97 = 211.97 : x
  2. Step 2: Convert to fraction form
    187.88/211.97 = 211.97/x
  3. Step 3: Cross multiply
    187.88x = 211.97 × 211.97
  4. Step 4: Simplify right side
    187.88x = 44,930.75
  5. Step 5: Solve for x
    x = 44,930.75/187.88
  6. Step 6: Final answer
    x = 239.15

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.