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Finding the Third Proportional to 240.75 and 496.69

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Solution

The third proportional to 240.75 and 496.69 is: 1,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 496.69 = 496.69 : x
  2. Step 2: Convert to fraction form
    240.75/496.69 = 496.69/x
  3. Step 3: Cross multiply
    240.75x = 496.69 × 496.69
  4. Step 4: Simplify right side
    240.75x = 246,698.47
  5. Step 5: Solve for x
    x = 246,698.47/240.75
  6. Step 6: Final answer
    x = 1,024.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.