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Finding the Third Proportional to 124.41 and 270.52

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Solution

The third proportional to 124.41 and 270.52 is: 588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.41 : 270.52 = 270.52 : x
  2. Step 2: Convert to fraction form
    124.41/270.52 = 270.52/x
  3. Step 3: Cross multiply
    124.41x = 270.52 × 270.52
  4. Step 4: Simplify right side
    124.41x = 73,178.70
  5. Step 5: Solve for x
    x = 73,178.70/124.41
  6. Step 6: Final answer
    x = 588.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.