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Finding the Third Proportional to 221,571.56 and 332,273.81

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Solution

The third proportional to 221,571.56 and 332,273.81 is: 498,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,571.56 : 332,273.81 = 332,273.81 : x
  2. Step 2: Convert to fraction form
    221,571.56/332,273.81 = 332,273.81/x
  3. Step 3: Cross multiply
    221,571.56x = 332,273.81 × 332,273.81
  4. Step 4: Simplify right side
    221,571.56x = 110,405,886,473.29
  5. Step 5: Solve for x
    x = 110,405,886,473.29/221,571.56
  6. Step 6: Final answer
    x = 498,285.45

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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.