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Finding the Third Proportional to 232.41 and 310.03

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Solution

The third proportional to 232.41 and 310.03 is: 413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.41 : 310.03 = 310.03 : x
  2. Step 2: Convert to fraction form
    232.41/310.03 = 310.03/x
  3. Step 3: Cross multiply
    232.41x = 310.03 × 310.03
  4. Step 4: Simplify right side
    232.41x = 96,119.38
  5. Step 5: Solve for x
    x = 96,119.38/232.41
  6. Step 6: Final answer
    x = 413.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.