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Finding the Third Proportional to 249.44 and 543.63

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Solution

The third proportional to 249.44 and 543.63 is: 1,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.44 : 543.63 = 543.63 : x
  2. Step 2: Convert to fraction form
    249.44/543.63 = 543.63/x
  3. Step 3: Cross multiply
    249.44x = 543.63 × 543.63
  4. Step 4: Simplify right side
    249.44x = 295,528.14
  5. Step 5: Solve for x
    x = 295,528.14/249.44
  6. Step 6: Final answer
    x = 1,184.78

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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.