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Finding the Third Proportional to 133.19 and 201.97

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Solution

The third proportional to 133.19 and 201.97 is: 306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.19 : 201.97 = 201.97 : x
  2. Step 2: Convert to fraction form
    133.19/201.97 = 201.97/x
  3. Step 3: Cross multiply
    133.19x = 201.97 × 201.97
  4. Step 4: Simplify right side
    133.19x = 40,791.38
  5. Step 5: Solve for x
    x = 40,791.38/133.19
  6. Step 6: Final answer
    x = 306.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.