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Finding the Third Proportional to 107,832 and 226,836

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Solution

The third proportional to 107,832 and 226,836 is: 477,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,832 : 226,836 = 226,836 : x
  2. Step 2: Convert to fraction form
    107,832/226,836 = 226,836/x
  3. Step 3: Cross multiply
    107,832x = 226,836 × 226,836
  4. Step 4: Simplify right side
    107,832x = 51,454,570,896
  5. Step 5: Solve for x
    x = 51,454,570,896/107,832
  6. Step 6: Final answer
    x = 477,173.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.