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Finding the Third Proportional to 198 and 375

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Solution

The third proportional to 198 and 375 is: 710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 375 = 375 : x
  2. Step 2: Convert to fraction form
    198/375 = 375/x
  3. Step 3: Cross multiply
    198x = 375 × 375
  4. Step 4: Simplify right side
    198x = 140,625
  5. Step 5: Solve for x
    x = 140,625/198
  6. Step 6: Final answer
    x = 710.23

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These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.