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Finding the Third Proportional to 106,980 and 225,898

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Solution

The third proportional to 106,980 and 225,898 is: 477,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,980 : 225,898 = 225,898 : x
  2. Step 2: Convert to fraction form
    106,980/225,898 = 225,898/x
  3. Step 3: Cross multiply
    106,980x = 225,898 × 225,898
  4. Step 4: Simplify right side
    106,980x = 51,029,906,404
  5. Step 5: Solve for x
    x = 51,029,906,404/106,980
  6. Step 6: Final answer
    x = 477,004.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.