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Finding the Third Proportional to 240.75 and 352.53

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Solution

The third proportional to 240.75 and 352.53 is: 516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 352.53 = 352.53 : x
  2. Step 2: Convert to fraction form
    240.75/352.53 = 352.53/x
  3. Step 3: Cross multiply
    240.75x = 352.53 × 352.53
  4. Step 4: Simplify right side
    240.75x = 124,278.28
  5. Step 5: Solve for x
    x = 124,278.28/240.75
  6. Step 6: Final answer
    x = 516.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.