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Finding the Third Proportional to 249.12 and 352.37

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Solution

The third proportional to 249.12 and 352.37 is: 498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.12 : 352.37 = 352.37 : x
  2. Step 2: Convert to fraction form
    249.12/352.37 = 352.37/x
  3. Step 3: Cross multiply
    249.12x = 352.37 × 352.37
  4. Step 4: Simplify right side
    249.12x = 124,165.39
  5. Step 5: Solve for x
    x = 124,165.39/249.12
  6. Step 6: Final answer
    x = 498.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.