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Finding the Third Proportional to 106,249 and 231,190

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Solution

The third proportional to 106,249 and 231,190 is: 503,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,249 : 231,190 = 231,190 : x
  2. Step 2: Convert to fraction form
    106,249/231,190 = 231,190/x
  3. Step 3: Cross multiply
    106,249x = 231,190 × 231,190
  4. Step 4: Simplify right side
    106,249x = 53,448,816,100
  5. Step 5: Solve for x
    x = 53,448,816,100/106,249
  6. Step 6: Final answer
    x = 503,052.42

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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.