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Finding the Third Proportional to 106,544 and 231,872

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Solution

The third proportional to 106,544 and 231,872 is: 504,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,544 : 231,872 = 231,872 : x
  2. Step 2: Convert to fraction form
    106,544/231,872 = 231,872/x
  3. Step 3: Cross multiply
    106,544x = 231,872 × 231,872
  4. Step 4: Simplify right side
    106,544x = 53,764,624,384
  5. Step 5: Solve for x
    x = 53,764,624,384/106,544
  6. Step 6: Final answer
    x = 504,623.67

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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.