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Finding the Third Proportional to 257.38 and 502.75

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Solution

The third proportional to 257.38 and 502.75 is: 982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.38 : 502.75 = 502.75 : x
  2. Step 2: Convert to fraction form
    257.38/502.75 = 502.75/x
  3. Step 3: Cross multiply
    257.38x = 502.75 × 502.75
  4. Step 4: Simplify right side
    257.38x = 252,757.56
  5. Step 5: Solve for x
    x = 252,757.56/257.38
  6. Step 6: Final answer
    x = 982.06

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.