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Finding the Third Proportional to 226,016 and 332,016

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Solution

The third proportional to 226,016 and 332,016 is: 487,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,016 : 332,016 = 332,016 : x
  2. Step 2: Convert to fraction form
    226,016/332,016 = 332,016/x
  3. Step 3: Cross multiply
    226,016x = 332,016 × 332,016
  4. Step 4: Simplify right side
    226,016x = 110,234,624,256
  5. Step 5: Solve for x
    x = 110,234,624,256/226,016
  6. Step 6: Final answer
    x = 487,729.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.