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Finding the Third Proportional to 107,794 and 226,760

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Solution

The third proportional to 107,794 and 226,760 is: 477,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,794 : 226,760 = 226,760 : x
  2. Step 2: Convert to fraction form
    107,794/226,760 = 226,760/x
  3. Step 3: Cross multiply
    107,794x = 226,760 × 226,760
  4. Step 4: Simplify right side
    107,794x = 51,420,097,600
  5. Step 5: Solve for x
    x = 51,420,097,600/107,794
  6. Step 6: Final answer
    x = 477,021.89

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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.