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Finding the Third Proportional to 101,418 and 226,156

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Solution

The third proportional to 101,418 and 226,156 is: 504,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,418 : 226,156 = 226,156 : x
  2. Step 2: Convert to fraction form
    101,418/226,156 = 226,156/x
  3. Step 3: Cross multiply
    101,418x = 226,156 × 226,156
  4. Step 4: Simplify right side
    101,418x = 51,146,536,336
  5. Step 5: Solve for x
    x = 51,146,536,336/101,418
  6. Step 6: Final answer
    x = 504,314.19

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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.