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Finding the Third Proportional to 237.75 and 257.38

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Solution

The third proportional to 237.75 and 257.38 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.75 : 257.38 = 257.38 : x
  2. Step 2: Convert to fraction form
    237.75/257.38 = 257.38/x
  3. Step 3: Cross multiply
    237.75x = 257.38 × 257.38
  4. Step 4: Simplify right side
    237.75x = 66,241.89
  5. Step 5: Solve for x
    x = 66,241.89/237.75
  6. Step 6: Final answer
    x = 278.62

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.