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Finding the Third Proportional to 106,704 and 226,550

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Solution

The third proportional to 106,704 and 226,550 is: 481,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,704 : 226,550 = 226,550 : x
  2. Step 2: Convert to fraction form
    106,704/226,550 = 226,550/x
  3. Step 3: Cross multiply
    106,704x = 226,550 × 226,550
  4. Step 4: Simplify right side
    106,704x = 51,324,902,500
  5. Step 5: Solve for x
    x = 51,324,902,500/106,704
  6. Step 6: Final answer
    x = 481,002.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.