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Finding the Third Proportional to 101,628 and 226,512

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Solution

The third proportional to 101,628 and 226,512 is: 504,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,628 : 226,512 = 226,512 : x
  2. Step 2: Convert to fraction form
    101,628/226,512 = 226,512/x
  3. Step 3: Cross multiply
    101,628x = 226,512 × 226,512
  4. Step 4: Simplify right side
    101,628x = 51,307,686,144
  5. Step 5: Solve for x
    x = 51,307,686,144/101,628
  6. Step 6: Final answer
    x = 504,857.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.