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Finding the Third Proportional to 226.17 and 493.27

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Solution

The third proportional to 226.17 and 493.27 is: 1,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.17 : 493.27 = 493.27 : x
  2. Step 2: Convert to fraction form
    226.17/493.27 = 493.27/x
  3. Step 3: Cross multiply
    226.17x = 493.27 × 493.27
  4. Step 4: Simplify right side
    226.17x = 243,310.98
  5. Step 5: Solve for x
    x = 243,310.98/226.17
  6. Step 6: Final answer
    x = 1,075.78

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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.