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Finding the Third Proportional to 73.81 and 158.38

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Solution

The third proportional to 73.81 and 158.38 is: 339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.81 : 158.38 = 158.38 : x
  2. Step 2: Convert to fraction form
    73.81/158.38 = 158.38/x
  3. Step 3: Cross multiply
    73.81x = 158.38 × 158.38
  4. Step 4: Simplify right side
    73.81x = 25,082.64
  5. Step 5: Solve for x
    x = 25,082.64/73.81
  6. Step 6: Final answer
    x = 339.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.