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Finding the Third Proportional to 225 and 495.50

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Solution

The third proportional to 225 and 495.50 is: 1,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225 : 495.50 = 495.50 : x
  2. Step 2: Convert to fraction form
    225/495.50 = 495.50/x
  3. Step 3: Cross multiply
    225x = 495.50 × 495.50
  4. Step 4: Simplify right side
    225x = 245,520.25
  5. Step 5: Solve for x
    x = 245,520.25/225
  6. Step 6: Final answer
    x = 1,091.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.