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Finding the Third Proportional to 322.31 and 365.91

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Solution

The third proportional to 322.31 and 365.91 is: 415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 365.91 = 365.91 : x
  2. Step 2: Convert to fraction form
    322.31/365.91 = 365.91/x
  3. Step 3: Cross multiply
    322.31x = 365.91 × 365.91
  4. Step 4: Simplify right side
    322.31x = 133,887.38
  5. Step 5: Solve for x
    x = 133,887.38/322.31
  6. Step 6: Final answer
    x = 415.40

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.