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Finding the Third Proportional to 249.38 and 376.31

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Solution

The third proportional to 249.38 and 376.31 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.38 : 376.31 = 376.31 : x
  2. Step 2: Convert to fraction form
    249.38/376.31 = 376.31/x
  3. Step 3: Cross multiply
    249.38x = 376.31 × 376.31
  4. Step 4: Simplify right side
    249.38x = 141,611.10
  5. Step 5: Solve for x
    x = 141,611.10/249.38
  6. Step 6: Final answer
    x = 567.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.