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Finding the Third Proportional to 241.73 and 532.41

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Solution

The third proportional to 241.73 and 532.41 is: 1,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.73 : 532.41 = 532.41 : x
  2. Step 2: Convert to fraction form
    241.73/532.41 = 532.41/x
  3. Step 3: Cross multiply
    241.73x = 532.41 × 532.41
  4. Step 4: Simplify right side
    241.73x = 283,456.42
  5. Step 5: Solve for x
    x = 283,456.42/241.73
  6. Step 6: Final answer
    x = 1,172.59

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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.