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Finding the Third Proportional to 231.94 and 493.41

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Solution

The third proportional to 231.94 and 493.41 is: 1,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.94 : 493.41 = 493.41 : x
  2. Step 2: Convert to fraction form
    231.94/493.41 = 493.41/x
  3. Step 3: Cross multiply
    231.94x = 493.41 × 493.41
  4. Step 4: Simplify right side
    231.94x = 243,449.73
  5. Step 5: Solve for x
    x = 243,449.73/231.94
  6. Step 6: Final answer
    x = 1,049.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.