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Finding the Third Proportional to 241.59 and 388.97

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Solution

The third proportional to 241.59 and 388.97 is: 626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.59 : 388.97 = 388.97 : x
  2. Step 2: Convert to fraction form
    241.59/388.97 = 388.97/x
  3. Step 3: Cross multiply
    241.59x = 388.97 × 388.97
  4. Step 4: Simplify right side
    241.59x = 151,296.69
  5. Step 5: Solve for x
    x = 151,296.69/241.59
  6. Step 6: Final answer
    x = 626.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.