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Finding the Third Proportional to 269.34 and 593.25

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Solution

The third proportional to 269.34 and 593.25 is: 1,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.34 : 593.25 = 593.25 : x
  2. Step 2: Convert to fraction form
    269.34/593.25 = 593.25/x
  3. Step 3: Cross multiply
    269.34x = 593.25 × 593.25
  4. Step 4: Simplify right side
    269.34x = 351,945.56
  5. Step 5: Solve for x
    x = 351,945.56/269.34
  6. Step 6: Final answer
    x = 1,306.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.