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Finding the Third Proportional to 241,769 and 339,865

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Solution

The third proportional to 241,769 and 339,865 is: 477,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,769 : 339,865 = 339,865 : x
  2. Step 2: Convert to fraction form
    241,769/339,865 = 339,865/x
  3. Step 3: Cross multiply
    241,769x = 339,865 × 339,865
  4. Step 4: Simplify right side
    241,769x = 115,508,218,225
  5. Step 5: Solve for x
    x = 115,508,218,225/241,769
  6. Step 6: Final answer
    x = 477,762.73

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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.