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Finding the Third Proportional to 106,879.50 and 225,774

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Solution

The third proportional to 106,879.50 and 225,774 is: 476,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,879.50 : 225,774 = 225,774 : x
  2. Step 2: Convert to fraction form
    106,879.50/225,774 = 225,774/x
  3. Step 3: Cross multiply
    106,879.50x = 225,774 × 225,774
  4. Step 4: Simplify right side
    106,879.50x = 50,973,899,076
  5. Step 5: Solve for x
    x = 50,973,899,076/106,879.50
  6. Step 6: Final answer
    x = 476,928.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.