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Finding the Third Proportional to 198 and 249.75

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Solution

The third proportional to 198 and 249.75 is: 315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 249.75 = 249.75 : x
  2. Step 2: Convert to fraction form
    198/249.75 = 249.75/x
  3. Step 3: Cross multiply
    198x = 249.75 × 249.75
  4. Step 4: Simplify right side
    198x = 62,375.06
  5. Step 5: Solve for x
    x = 62,375.06/198
  6. Step 6: Final answer
    x = 315.03

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.