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Finding the Third Proportional to 106,219 and 231,170

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Solution

The third proportional to 106,219 and 231,170 is: 503,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,219 : 231,170 = 231,170 : x
  2. Step 2: Convert to fraction form
    106,219/231,170 = 231,170/x
  3. Step 3: Cross multiply
    106,219x = 231,170 × 231,170
  4. Step 4: Simplify right side
    106,219x = 53,439,568,900
  5. Step 5: Solve for x
    x = 53,439,568,900/106,219
  6. Step 6: Final answer
    x = 503,107.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.