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Finding the Third Proportional to 241,742 and 339,825

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Solution

The third proportional to 241,742 and 339,825 is: 477,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,742 : 339,825 = 339,825 : x
  2. Step 2: Convert to fraction form
    241,742/339,825 = 339,825/x
  3. Step 3: Cross multiply
    241,742x = 339,825 × 339,825
  4. Step 4: Simplify right side
    241,742x = 115,481,030,625
  5. Step 5: Solve for x
    x = 115,481,030,625/241,742
  6. Step 6: Final answer
    x = 477,703.63

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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.