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Finding the Third Proportional to 225 and 489.63

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Solution

The third proportional to 225 and 489.63 is: 1,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225 : 489.63 = 489.63 : x
  2. Step 2: Convert to fraction form
    225/489.63 = 489.63/x
  3. Step 3: Cross multiply
    225x = 489.63 × 489.63
  4. Step 4: Simplify right side
    225x = 239,732.64
  5. Step 5: Solve for x
    x = 239,732.64/225
  6. Step 6: Final answer
    x = 1,065.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.