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Finding the Third Proportional to 104,783 and 214,408

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Solution

The third proportional to 104,783 and 214,408 is: 438,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,783 : 214,408 = 214,408 : x
  2. Step 2: Convert to fraction form
    104,783/214,408 = 214,408/x
  3. Step 3: Cross multiply
    104,783x = 214,408 × 214,408
  4. Step 4: Simplify right side
    104,783x = 45,970,790,464
  5. Step 5: Solve for x
    x = 45,970,790,464/104,783
  6. Step 6: Final answer
    x = 438,723.75

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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.