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Finding the Third Proportional to 106,841 and 227,980

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Solution

The third proportional to 106,841 and 227,980 is: 486,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,841 : 227,980 = 227,980 : x
  2. Step 2: Convert to fraction form
    106,841/227,980 = 227,980/x
  3. Step 3: Cross multiply
    106,841x = 227,980 × 227,980
  4. Step 4: Simplify right side
    106,841x = 51,974,880,400
  5. Step 5: Solve for x
    x = 51,974,880,400/106,841
  6. Step 6: Final answer
    x = 486,469.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.