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Finding the Third Proportional to 150,774 and 226,179

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Solution

The third proportional to 150,774 and 226,179 is: 339,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,774 : 226,179 = 226,179 : x
  2. Step 2: Convert to fraction form
    150,774/226,179 = 226,179/x
  3. Step 3: Cross multiply
    150,774x = 226,179 × 226,179
  4. Step 4: Simplify right side
    150,774x = 51,156,940,041
  5. Step 5: Solve for x
    x = 51,156,940,041/150,774
  6. Step 6: Final answer
    x = 339,295.50

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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.