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Finding the Third Proportional to 226.94 and 323.88

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Solution

The third proportional to 226.94 and 323.88 is: 462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.94 : 323.88 = 323.88 : x
  2. Step 2: Convert to fraction form
    226.94/323.88 = 323.88/x
  3. Step 3: Cross multiply
    226.94x = 323.88 × 323.88
  4. Step 4: Simplify right side
    226.94x = 104,895.02
  5. Step 5: Solve for x
    x = 104,895.02/226.94
  6. Step 6: Final answer
    x = 462.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.