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Finding the Third Proportional to 101,421 and 226,162

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Solution

The third proportional to 101,421 and 226,162 is: 504,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,421 : 226,162 = 226,162 : x
  2. Step 2: Convert to fraction form
    101,421/226,162 = 226,162/x
  3. Step 3: Cross multiply
    101,421x = 226,162 × 226,162
  4. Step 4: Simplify right side
    101,421x = 51,149,250,244
  5. Step 5: Solve for x
    x = 51,149,250,244/101,421
  6. Step 6: Final answer
    x = 504,326.03

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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.