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Finding the Third Proportional to 226.31 and 322.13

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Solution

The third proportional to 226.31 and 322.13 is: 458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.31 : 322.13 = 322.13 : x
  2. Step 2: Convert to fraction form
    226.31/322.13 = 322.13/x
  3. Step 3: Cross multiply
    226.31x = 322.13 × 322.13
  4. Step 4: Simplify right side
    226.31x = 103,764.52
  5. Step 5: Solve for x
    x = 103,764.52/226.31
  6. Step 6: Final answer
    x = 458.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.