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Finding the Third Proportional to 106,211 and 231,745

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Solution

The third proportional to 106,211 and 231,745 is: 505,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,211 : 231,745 = 231,745 : x
  2. Step 2: Convert to fraction form
    106,211/231,745 = 231,745/x
  3. Step 3: Cross multiply
    106,211x = 231,745 × 231,745
  4. Step 4: Simplify right side
    106,211x = 53,705,745,025
  5. Step 5: Solve for x
    x = 53,705,745,025/106,211
  6. Step 6: Final answer
    x = 505,651.44

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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.