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Finding the Third Proportional to 104,458 and 214,448

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Solution

The third proportional to 104,458 and 214,448 is: 440,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,458 : 214,448 = 214,448 : x
  2. Step 2: Convert to fraction form
    104,458/214,448 = 214,448/x
  3. Step 3: Cross multiply
    104,458x = 214,448 × 214,448
  4. Step 4: Simplify right side
    104,458x = 45,987,944,704
  5. Step 5: Solve for x
    x = 45,987,944,704/104,458
  6. Step 6: Final answer
    x = 440,252.97

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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.