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Finding the Third Proportional to 104,814 and 226,225

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Solution

The third proportional to 104,814 and 226,225 is: 488,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,814 : 226,225 = 226,225 : x
  2. Step 2: Convert to fraction form
    104,814/226,225 = 226,225/x
  3. Step 3: Cross multiply
    104,814x = 226,225 × 226,225
  4. Step 4: Simplify right side
    104,814x = 51,177,750,625
  5. Step 5: Solve for x
    x = 51,177,750,625/104,814
  6. Step 6: Final answer
    x = 488,272.09

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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.