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Finding the Third Proportional to 322.31 and 469.13

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Solution

The third proportional to 322.31 and 469.13 is: 682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 469.13 = 469.13 : x
  2. Step 2: Convert to fraction form
    322.31/469.13 = 469.13/x
  3. Step 3: Cross multiply
    322.31x = 469.13 × 469.13
  4. Step 4: Simplify right side
    322.31x = 220,078.27
  5. Step 5: Solve for x
    x = 220,078.27/322.31
  6. Step 6: Final answer
    x = 682.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.