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Finding the Third Proportional to 226.31 and 472.03

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Solution

The third proportional to 226.31 and 472.03 is: 984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.31 : 472.03 = 472.03 : x
  2. Step 2: Convert to fraction form
    226.31/472.03 = 472.03/x
  3. Step 3: Cross multiply
    226.31x = 472.03 × 472.03
  4. Step 4: Simplify right side
    226.31x = 222,813.50
  5. Step 5: Solve for x
    x = 222,813.50/226.31
  6. Step 6: Final answer
    x = 984.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.