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Finding the Third Proportional to 104,626 and 214,760

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Solution

The third proportional to 104,626 and 214,760 is: 440,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,626 : 214,760 = 214,760 : x
  2. Step 2: Convert to fraction form
    104,626/214,760 = 214,760/x
  3. Step 3: Cross multiply
    104,626x = 214,760 × 214,760
  4. Step 4: Simplify right side
    104,626x = 46,121,857,600
  5. Step 5: Solve for x
    x = 46,121,857,600/104,626
  6. Step 6: Final answer
    x = 440,825.97

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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.