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Finding the Third Proportional to 141.67 and 188.66

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Solution

The third proportional to 141.67 and 188.66 is: 251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.67 : 188.66 = 188.66 : x
  2. Step 2: Convert to fraction form
    141.67/188.66 = 188.66/x
  3. Step 3: Cross multiply
    141.67x = 188.66 × 188.66
  4. Step 4: Simplify right side
    141.67x = 35,591.55
  5. Step 5: Solve for x
    x = 35,591.55/141.67
  6. Step 6: Final answer
    x = 251.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.