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Finding the Third Proportional to 101,398 and 226,088

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Solution

The third proportional to 101,398 and 226,088 is: 504,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,398 : 226,088 = 226,088 : x
  2. Step 2: Convert to fraction form
    101,398/226,088 = 226,088/x
  3. Step 3: Cross multiply
    101,398x = 226,088 × 226,088
  4. Step 4: Simplify right side
    101,398x = 51,115,783,744
  5. Step 5: Solve for x
    x = 51,115,783,744/101,398
  6. Step 6: Final answer
    x = 504,110.37

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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.