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Finding the Third Proportional to 241.75 and 521.13

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Solution

The third proportional to 241.75 and 521.13 is: 1,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.75 : 521.13 = 521.13 : x
  2. Step 2: Convert to fraction form
    241.75/521.13 = 521.13/x
  3. Step 3: Cross multiply
    241.75x = 521.13 × 521.13
  4. Step 4: Simplify right side
    241.75x = 271,571.27
  5. Step 5: Solve for x
    x = 271,571.27/241.75
  6. Step 6: Final answer
    x = 1,123.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.