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Finding the Third Proportional to 104.27 and 241.70

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Solution

The third proportional to 104.27 and 241.70 is: 560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.27 : 241.70 = 241.70 : x
  2. Step 2: Convert to fraction form
    104.27/241.70 = 241.70/x
  3. Step 3: Cross multiply
    104.27x = 241.70 × 241.70
  4. Step 4: Simplify right side
    104.27x = 58,418.51
  5. Step 5: Solve for x
    x = 58,418.51/104.27
  6. Step 6: Final answer
    x = 560.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.