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Finding the Third Proportional to 219,099.94 and 327,774.19

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Solution

The third proportional to 219,099.94 and 327,774.19 is: 490,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,099.94 : 327,774.19 = 327,774.19 : x
  2. Step 2: Convert to fraction form
    219,099.94/327,774.19 = 327,774.19/x
  3. Step 3: Cross multiply
    219,099.94x = 327,774.19 × 327,774.19
  4. Step 4: Simplify right side
    219,099.94x = 107,435,917,991.29
  5. Step 5: Solve for x
    x = 107,435,917,991.29/219,099.94
  6. Step 6: Final answer
    x = 490,351.20

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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.