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Finding the Third Proportional to 104,286 and 227,697

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Solution

The third proportional to 104,286 and 227,697 is: 497,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,286 : 227,697 = 227,697 : x
  2. Step 2: Convert to fraction form
    104,286/227,697 = 227,697/x
  3. Step 3: Cross multiply
    104,286x = 227,697 × 227,697
  4. Step 4: Simplify right side
    104,286x = 51,845,923,809
  5. Step 5: Solve for x
    x = 51,845,923,809/104,286
  6. Step 6: Final answer
    x = 497,151.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.