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Finding the Third Proportional to 241.13 and 291.28

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Solution

The third proportional to 241.13 and 291.28 is: 351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.13 : 291.28 = 291.28 : x
  2. Step 2: Convert to fraction form
    241.13/291.28 = 291.28/x
  3. Step 3: Cross multiply
    241.13x = 291.28 × 291.28
  4. Step 4: Simplify right side
    241.13x = 84,844.77
  5. Step 5: Solve for x
    x = 84,844.77/241.13
  6. Step 6: Final answer
    x = 351.87

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.