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Finding the Third Proportional to 134.73 and 205.97

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Solution

The third proportional to 134.73 and 205.97 is: 314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.73 : 205.97 = 205.97 : x
  2. Step 2: Convert to fraction form
    134.73/205.97 = 205.97/x
  3. Step 3: Cross multiply
    134.73x = 205.97 × 205.97
  4. Step 4: Simplify right side
    134.73x = 42,423.13
  5. Step 5: Solve for x
    x = 42,423.13/134.73
  6. Step 6: Final answer
    x = 314.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.