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Finding the Third Proportional to 248.38 and 502.38

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Solution

The third proportional to 248.38 and 502.38 is: 1,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.38 : 502.38 = 502.38 : x
  2. Step 2: Convert to fraction form
    248.38/502.38 = 502.38/x
  3. Step 3: Cross multiply
    248.38x = 502.38 × 502.38
  4. Step 4: Simplify right side
    248.38x = 252,380.64
  5. Step 5: Solve for x
    x = 252,380.64/248.38
  6. Step 6: Final answer
    x = 1,016.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.