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Finding the Third Proportional to 154.27 and 226.83

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Solution

The third proportional to 154.27 and 226.83 is: 333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.27 : 226.83 = 226.83 : x
  2. Step 2: Convert to fraction form
    154.27/226.83 = 226.83/x
  3. Step 3: Cross multiply
    154.27x = 226.83 × 226.83
  4. Step 4: Simplify right side
    154.27x = 51,451.00
  5. Step 5: Solve for x
    x = 51,451.00/154.27
  6. Step 6: Final answer
    x = 333.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.