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Finding the Third Proportional to 150,786 and 226,197

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Solution

The third proportional to 150,786 and 226,197 is: 339,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,786 : 226,197 = 226,197 : x
  2. Step 2: Convert to fraction form
    150,786/226,197 = 226,197/x
  3. Step 3: Cross multiply
    150,786x = 226,197 × 226,197
  4. Step 4: Simplify right side
    150,786x = 51,165,082,809
  5. Step 5: Solve for x
    x = 51,165,082,809/150,786
  6. Step 6: Final answer
    x = 339,322.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.