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Finding the Third Proportional to 241.78 and 363.70

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Solution

The third proportional to 241.78 and 363.70 is: 547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.78 : 363.70 = 363.70 : x
  2. Step 2: Convert to fraction form
    241.78/363.70 = 363.70/x
  3. Step 3: Cross multiply
    241.78x = 363.70 × 363.70
  4. Step 4: Simplify right side
    241.78x = 132,279.96
  5. Step 5: Solve for x
    x = 132,279.96/241.78
  6. Step 6: Final answer
    x = 547.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.