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Finding the Third Proportional to 158.94 and 337.38

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Solution

The third proportional to 158.94 and 337.38 is: 716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.94 : 337.38 = 337.38 : x
  2. Step 2: Convert to fraction form
    158.94/337.38 = 337.38/x
  3. Step 3: Cross multiply
    158.94x = 337.38 × 337.38
  4. Step 4: Simplify right side
    158.94x = 113,821.89
  5. Step 5: Solve for x
    x = 113,821.89/158.94
  6. Step 6: Final answer
    x = 716.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.