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Finding the Third Proportional to 104,625 and 214,812

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Solution

The third proportional to 104,625 and 214,812 is: 441,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,625 : 214,812 = 214,812 : x
  2. Step 2: Convert to fraction form
    104,625/214,812 = 214,812/x
  3. Step 3: Cross multiply
    104,625x = 214,812 × 214,812
  4. Step 4: Simplify right side
    104,625x = 46,144,195,344
  5. Step 5: Solve for x
    x = 46,144,195,344/104,625
  6. Step 6: Final answer
    x = 441,043.68

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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.