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Finding the Third Proportional to 322.13 and 343.50

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Solution

The third proportional to 322.13 and 343.50 is: 366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 343.50 = 343.50 : x
  2. Step 2: Convert to fraction form
    322.13/343.50 = 343.50/x
  3. Step 3: Cross multiply
    322.13x = 343.50 × 343.50
  4. Step 4: Simplify right side
    322.13x = 117,992.25
  5. Step 5: Solve for x
    x = 117,992.25/322.13
  6. Step 6: Final answer
    x = 366.29

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.