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Finding the Third Proportional to 233.03 and 480.78

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Solution

The third proportional to 233.03 and 480.78 is: 991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.03 : 480.78 = 480.78 : x
  2. Step 2: Convert to fraction form
    233.03/480.78 = 480.78/x
  3. Step 3: Cross multiply
    233.03x = 480.78 × 480.78
  4. Step 4: Simplify right side
    233.03x = 231,148.73
  5. Step 5: Solve for x
    x = 231,148.73/233.03
  6. Step 6: Final answer
    x = 991.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.