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Finding the Third Proportional to 241.88 and 263.13

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Solution

The third proportional to 241.88 and 263.13 is: 286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.88 : 263.13 = 263.13 : x
  2. Step 2: Convert to fraction form
    241.88/263.13 = 263.13/x
  3. Step 3: Cross multiply
    241.88x = 263.13 × 263.13
  4. Step 4: Simplify right side
    241.88x = 69,234.77
  5. Step 5: Solve for x
    x = 69,234.77/241.88
  6. Step 6: Final answer
    x = 286.24

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.