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Finding the Third Proportional to 100.88 and 241.69

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Solution

The third proportional to 100.88 and 241.69 is: 579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.88 : 241.69 = 241.69 : x
  2. Step 2: Convert to fraction form
    100.88/241.69 = 241.69/x
  3. Step 3: Cross multiply
    100.88x = 241.69 × 241.69
  4. Step 4: Simplify right side
    100.88x = 58,412.85
  5. Step 5: Solve for x
    x = 58,412.85/100.88
  6. Step 6: Final answer
    x = 579.06

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.