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Finding the Third Proportional to 249.94 and 543.84

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Solution

The third proportional to 249.94 and 543.84 is: 1,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.94 : 543.84 = 543.84 : x
  2. Step 2: Convert to fraction form
    249.94/543.84 = 543.84/x
  3. Step 3: Cross multiply
    249.94x = 543.84 × 543.84
  4. Step 4: Simplify right side
    249.94x = 295,766.02
  5. Step 5: Solve for x
    x = 295,766.02/249.94
  6. Step 6: Final answer
    x = 1,183.36

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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.