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Finding the Third Proportional to 219,383.44 and 327,639.94

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Solution

The third proportional to 219,383.44 and 327,639.94 is: 489,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,383.44 : 327,639.94 = 327,639.94 : x
  2. Step 2: Convert to fraction form
    219,383.44/327,639.94 = 327,639.94/x
  3. Step 3: Cross multiply
    219,383.44x = 327,639.94 × 327,639.94
  4. Step 4: Simplify right side
    219,383.44x = 107,347,928,645.00
  5. Step 5: Solve for x
    x = 107,347,928,645.00/219,383.44
  6. Step 6: Final answer
    x = 489,316.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.