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Finding the Third Proportional to 198 and 288

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Solution

The third proportional to 198 and 288 is: 418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 288 = 288 : x
  2. Step 2: Convert to fraction form
    198/288 = 288/x
  3. Step 3: Cross multiply
    198x = 288 × 288
  4. Step 4: Simplify right side
    198x = 82,944
  5. Step 5: Solve for x
    x = 82,944/198
  6. Step 6: Final answer
    x = 418.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.