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Finding the Third Proportional to 106,732 and 225,218

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Solution

The third proportional to 106,732 and 225,218 is: 475,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,732 : 225,218 = 225,218 : x
  2. Step 2: Convert to fraction form
    106,732/225,218 = 225,218/x
  3. Step 3: Cross multiply
    106,732x = 225,218 × 225,218
  4. Step 4: Simplify right side
    106,732x = 50,723,147,524
  5. Step 5: Solve for x
    x = 50,723,147,524/106,732
  6. Step 6: Final answer
    x = 475,238.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.