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Finding the Third Proportional to 110.44 and 241.41

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Solution

The third proportional to 110.44 and 241.41 is: 527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.44 : 241.41 = 241.41 : x
  2. Step 2: Convert to fraction form
    110.44/241.41 = 241.41/x
  3. Step 3: Cross multiply
    110.44x = 241.41 × 241.41
  4. Step 4: Simplify right side
    110.44x = 58,276.98
  5. Step 5: Solve for x
    x = 58,276.98/110.44
  6. Step 6: Final answer
    x = 527.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.