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Finding the Third Proportional to 101,422 and 226,164

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Solution

The third proportional to 101,422 and 226,164 is: 504,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,422 : 226,164 = 226,164 : x
  2. Step 2: Convert to fraction form
    101,422/226,164 = 226,164/x
  3. Step 3: Cross multiply
    101,422x = 226,164 × 226,164
  4. Step 4: Simplify right side
    101,422x = 51,150,154,896
  5. Step 5: Solve for x
    x = 51,150,154,896/101,422
  6. Step 6: Final answer
    x = 504,329.98

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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.