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Finding the Third Proportional to 158.02 and 323.86

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Solution

The third proportional to 158.02 and 323.86 is: 663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.02 : 323.86 = 323.86 : x
  2. Step 2: Convert to fraction form
    158.02/323.86 = 323.86/x
  3. Step 3: Cross multiply
    158.02x = 323.86 × 323.86
  4. Step 4: Simplify right side
    158.02x = 104,884.89
  5. Step 5: Solve for x
    x = 104,884.89/158.02
  6. Step 6: Final answer
    x = 663.76

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.