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Finding the Third Proportional to 104,855 and 226,396

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Solution

The third proportional to 104,855 and 226,396 is: 488,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,855 : 226,396 = 226,396 : x
  2. Step 2: Convert to fraction form
    104,855/226,396 = 226,396/x
  3. Step 3: Cross multiply
    104,855x = 226,396 × 226,396
  4. Step 4: Simplify right side
    104,855x = 51,255,148,816
  5. Step 5: Solve for x
    x = 51,255,148,816/104,855
  6. Step 6: Final answer
    x = 488,819.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.