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Finding the Third Proportional to 198 and 402.50

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Solution

The third proportional to 198 and 402.50 is: 818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 402.50 = 402.50 : x
  2. Step 2: Convert to fraction form
    198/402.50 = 402.50/x
  3. Step 3: Cross multiply
    198x = 402.50 × 402.50
  4. Step 4: Simplify right side
    198x = 162,006.25
  5. Step 5: Solve for x
    x = 162,006.25/198
  6. Step 6: Final answer
    x = 818.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.