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Finding the Third Proportional to 221.13 and 340.38

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Solution

The third proportional to 221.13 and 340.38 is: 523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.13 : 340.38 = 340.38 : x
  2. Step 2: Convert to fraction form
    221.13/340.38 = 340.38/x
  3. Step 3: Cross multiply
    221.13x = 340.38 × 340.38
  4. Step 4: Simplify right side
    221.13x = 115,855.14
  5. Step 5: Solve for x
    x = 115,855.14/221.13
  6. Step 6: Final answer
    x = 523.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.