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Finding the Third Proportional to 154.55 and 231.82

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Solution

The third proportional to 154.55 and 231.82 is: 347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.55 : 231.82 = 231.82 : x
  2. Step 2: Convert to fraction form
    154.55/231.82 = 231.82/x
  3. Step 3: Cross multiply
    154.55x = 231.82 × 231.82
  4. Step 4: Simplify right side
    154.55x = 53,740.66
  5. Step 5: Solve for x
    x = 53,740.66/154.55
  6. Step 6: Final answer
    x = 347.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.