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Finding the Third Proportional to 118 and 166.63

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Solution

The third proportional to 118 and 166.63 is: 235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118 : 166.63 = 166.63 : x
  2. Step 2: Convert to fraction form
    118/166.63 = 166.63/x
  3. Step 3: Cross multiply
    118x = 166.63 × 166.63
  4. Step 4: Simplify right side
    118x = 27,763.89
  5. Step 5: Solve for x
    x = 27,763.89/118
  6. Step 6: Final answer
    x = 235.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.