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Finding the Third Proportional to 110.04 and 241.95

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Solution

The third proportional to 110.04 and 241.95 is: 531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.04 : 241.95 = 241.95 : x
  2. Step 2: Convert to fraction form
    110.04/241.95 = 241.95/x
  3. Step 3: Cross multiply
    110.04x = 241.95 × 241.95
  4. Step 4: Simplify right side
    110.04x = 58,537.53
  5. Step 5: Solve for x
    x = 58,537.53/110.04
  6. Step 6: Final answer
    x = 531.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.