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Finding the Third Proportional to 118.69 and 241.31

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Solution

The third proportional to 118.69 and 241.31 is: 490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.69 : 241.31 = 241.31 : x
  2. Step 2: Convert to fraction form
    118.69/241.31 = 241.31/x
  3. Step 3: Cross multiply
    118.69x = 241.31 × 241.31
  4. Step 4: Simplify right side
    118.69x = 58,231.72
  5. Step 5: Solve for x
    x = 58,231.72/118.69
  6. Step 6: Final answer
    x = 490.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.