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Finding the Third Proportional to 248,469 and 331,041

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Solution

The third proportional to 248,469 and 331,041 is: 441,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,469 : 331,041 = 331,041 : x
  2. Step 2: Convert to fraction form
    248,469/331,041 = 331,041/x
  3. Step 3: Cross multiply
    248,469x = 331,041 × 331,041
  4. Step 4: Simplify right side
    248,469x = 109,588,143,681
  5. Step 5: Solve for x
    x = 109,588,143,681/248,469
  6. Step 6: Final answer
    x = 441,053.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.