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Finding the Third Proportional to 230.88 and 449.94

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Solution

The third proportional to 230.88 and 449.94 is: 876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.88 : 449.94 = 449.94 : x
  2. Step 2: Convert to fraction form
    230.88/449.94 = 449.94/x
  3. Step 3: Cross multiply
    230.88x = 449.94 × 449.94
  4. Step 4: Simplify right side
    230.88x = 202,443.75
  5. Step 5: Solve for x
    x = 202,443.75/230.88
  6. Step 6: Final answer
    x = 876.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.