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Finding the Third Proportional to 226.31 and 493.88

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Solution

The third proportional to 226.31 and 493.88 is: 1,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.31 : 493.88 = 493.88 : x
  2. Step 2: Convert to fraction form
    226.31/493.88 = 493.88/x
  3. Step 3: Cross multiply
    226.31x = 493.88 × 493.88
  4. Step 4: Simplify right side
    226.31x = 243,912.52
  5. Step 5: Solve for x
    x = 243,912.52/226.31
  6. Step 6: Final answer
    x = 1,077.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.