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Finding the Third Proportional to 240.75 and 524.69

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Solution

The third proportional to 240.75 and 524.69 is: 1,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 524.69 = 524.69 : x
  2. Step 2: Convert to fraction form
    240.75/524.69 = 524.69/x
  3. Step 3: Cross multiply
    240.75x = 524.69 × 524.69
  4. Step 4: Simplify right side
    240.75x = 275,296.97
  5. Step 5: Solve for x
    x = 275,296.97/240.75
  6. Step 6: Final answer
    x = 1,143.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.