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Finding the Third Proportional to 241.31 and 410.91

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Solution

The third proportional to 241.31 and 410.91 is: 699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.31 : 410.91 = 410.91 : x
  2. Step 2: Convert to fraction form
    241.31/410.91 = 410.91/x
  3. Step 3: Cross multiply
    241.31x = 410.91 × 410.91
  4. Step 4: Simplify right side
    241.31x = 168,843.95
  5. Step 5: Solve for x
    x = 168,843.95/241.31
  6. Step 6: Final answer
    x = 699.69

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.