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Finding the Third Proportional to 234.62 and 543.82

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Solution

The third proportional to 234.62 and 543.82 is: 1,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.62 : 543.82 = 543.82 : x
  2. Step 2: Convert to fraction form
    234.62/543.82 = 543.82/x
  3. Step 3: Cross multiply
    234.62x = 543.82 × 543.82
  4. Step 4: Simplify right side
    234.62x = 295,743.72
  5. Step 5: Solve for x
    x = 295,743.72/234.62
  6. Step 6: Final answer
    x = 1,260.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.