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Finding the Third Proportional to 150,463 and 223,204

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Solution

The third proportional to 150,463 and 223,204 is: 331,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,463 : 223,204 = 223,204 : x
  2. Step 2: Convert to fraction form
    150,463/223,204 = 223,204/x
  3. Step 3: Cross multiply
    150,463x = 223,204 × 223,204
  4. Step 4: Simplify right side
    150,463x = 49,820,025,616
  5. Step 5: Solve for x
    x = 49,820,025,616/150,463
  6. Step 6: Final answer
    x = 331,111.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.