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Finding the Third Proportional to 249.88 and 339.63

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Solution

The third proportional to 249.88 and 339.63 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.88 : 339.63 = 339.63 : x
  2. Step 2: Convert to fraction form
    249.88/339.63 = 339.63/x
  3. Step 3: Cross multiply
    249.88x = 339.63 × 339.63
  4. Step 4: Simplify right side
    249.88x = 115,345.14
  5. Step 5: Solve for x
    x = 115,345.14/249.88
  6. Step 6: Final answer
    x = 461.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.