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Finding the Third Proportional to 240.27 and 361.47

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Solution

The third proportional to 240.27 and 361.47 is: 543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.27 : 361.47 = 361.47 : x
  2. Step 2: Convert to fraction form
    240.27/361.47 = 361.47/x
  3. Step 3: Cross multiply
    240.27x = 361.47 × 361.47
  4. Step 4: Simplify right side
    240.27x = 130,663.72
  5. Step 5: Solve for x
    x = 130,663.72/240.27
  6. Step 6: Final answer
    x = 543.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.