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Finding the Third Proportional to 232.88 and 489.38

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Solution

The third proportional to 232.88 and 489.38 is: 1,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 489.38 = 489.38 : x
  2. Step 2: Convert to fraction form
    232.88/489.38 = 489.38/x
  3. Step 3: Cross multiply
    232.88x = 489.38 × 489.38
  4. Step 4: Simplify right side
    232.88x = 239,487.89
  5. Step 5: Solve for x
    x = 239,487.89/232.88
  6. Step 6: Final answer
    x = 1,028.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.