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Finding the Third Proportional to 104,591 and 214,744

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Solution

The third proportional to 104,591 and 214,744 is: 440,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,591 : 214,744 = 214,744 : x
  2. Step 2: Convert to fraction form
    104,591/214,744 = 214,744/x
  3. Step 3: Cross multiply
    104,591x = 214,744 × 214,744
  4. Step 4: Simplify right side
    104,591x = 46,114,985,536
  5. Step 5: Solve for x
    x = 46,114,985,536/104,591
  6. Step 6: Final answer
    x = 440,907.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.