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Finding the Third Proportional to 241.44 and 517.06

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Solution

The third proportional to 241.44 and 517.06 is: 1,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.44 : 517.06 = 517.06 : x
  2. Step 2: Convert to fraction form
    241.44/517.06 = 517.06/x
  3. Step 3: Cross multiply
    241.44x = 517.06 × 517.06
  4. Step 4: Simplify right side
    241.44x = 267,353.63
  5. Step 5: Solve for x
    x = 267,353.63/241.44
  6. Step 6: Final answer
    x = 1,107.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.