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Finding the Third Proportional to 169.73 and 269.16

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Solution

The third proportional to 169.73 and 269.16 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.73 : 269.16 = 269.16 : x
  2. Step 2: Convert to fraction form
    169.73/269.16 = 269.16/x
  3. Step 3: Cross multiply
    169.73x = 269.16 × 269.16
  4. Step 4: Simplify right side
    169.73x = 72,445.09
  5. Step 5: Solve for x
    x = 72,445.09/169.73
  6. Step 6: Final answer
    x = 426.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.