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Finding the Third Proportional to 322.13 and 460.22

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Solution

The third proportional to 322.13 and 460.22 is: 657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 460.22 = 460.22 : x
  2. Step 2: Convert to fraction form
    322.13/460.22 = 460.22/x
  3. Step 3: Cross multiply
    322.13x = 460.22 × 460.22
  4. Step 4: Simplify right side
    322.13x = 211,801.30
  5. Step 5: Solve for x
    x = 211,801.30/322.13
  6. Step 6: Final answer
    x = 657.51

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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.