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Finding the Third Proportional to 106,361 and 226,801

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Solution

The third proportional to 106,361 and 226,801 is: 483,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,361 : 226,801 = 226,801 : x
  2. Step 2: Convert to fraction form
    106,361/226,801 = 226,801/x
  3. Step 3: Cross multiply
    106,361x = 226,801 × 226,801
  4. Step 4: Simplify right side
    106,361x = 51,438,693,601
  5. Step 5: Solve for x
    x = 51,438,693,601/106,361
  6. Step 6: Final answer
    x = 483,623.64

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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.