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Finding the Third Proportional to 118.13 and 185.44

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Solution

The third proportional to 118.13 and 185.44 is: 291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.13 : 185.44 = 185.44 : x
  2. Step 2: Convert to fraction form
    118.13/185.44 = 185.44/x
  3. Step 3: Cross multiply
    118.13x = 185.44 × 185.44
  4. Step 4: Simplify right side
    118.13x = 34,387.07
  5. Step 5: Solve for x
    x = 34,387.07/118.13
  6. Step 6: Final answer
    x = 291.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.