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Finding the Third Proportional to 219.38 and 301.22

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Solution

The third proportional to 219.38 and 301.22 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.38 : 301.22 = 301.22 : x
  2. Step 2: Convert to fraction form
    219.38/301.22 = 301.22/x
  3. Step 3: Cross multiply
    219.38x = 301.22 × 301.22
  4. Step 4: Simplify right side
    219.38x = 90,732.74
  5. Step 5: Solve for x
    x = 90,732.74/219.38
  6. Step 6: Final answer
    x = 413.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.