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Finding the Third Proportional to 198.88 and 286.38

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Solution

The third proportional to 198.88 and 286.38 is: 412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.88 : 286.38 = 286.38 : x
  2. Step 2: Convert to fraction form
    198.88/286.38 = 286.38/x
  3. Step 3: Cross multiply
    198.88x = 286.38 × 286.38
  4. Step 4: Simplify right side
    198.88x = 82,010.64
  5. Step 5: Solve for x
    x = 82,010.64/198.88
  6. Step 6: Final answer
    x = 412.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.