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Finding the Third Proportional to 241,766 and 339,861

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Solution

The third proportional to 241,766 and 339,861 is: 477,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,766 : 339,861 = 339,861 : x
  2. Step 2: Convert to fraction form
    241,766/339,861 = 339,861/x
  3. Step 3: Cross multiply
    241,766x = 339,861 × 339,861
  4. Step 4: Simplify right side
    241,766x = 115,505,499,321
  5. Step 5: Solve for x
    x = 115,505,499,321/241,766
  6. Step 6: Final answer
    x = 477,757.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.