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Finding the Third Proportional to 219,104.75 and 330,099.25

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Solution

The third proportional to 219,104.75 and 330,099.25 is: 497,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,104.75 : 330,099.25 = 330,099.25 : x
  2. Step 2: Convert to fraction form
    219,104.75/330,099.25 = 330,099.25/x
  3. Step 3: Cross multiply
    219,104.75x = 330,099.25 × 330,099.25
  4. Step 4: Simplify right side
    219,104.75x = 108,965,514,850.56
  5. Step 5: Solve for x
    x = 108,965,514,850.56/219,104.75
  6. Step 6: Final answer
    x = 497,321.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.