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Finding the Third Proportional to 146,568.45 and 218,989.41

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Solution

The third proportional to 146,568.45 and 218,989.41 is: 327,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,568.45 : 218,989.41 = 218,989.41 : x
  2. Step 2: Convert to fraction form
    146,568.45/218,989.41 = 218,989.41/x
  3. Step 3: Cross multiply
    146,568.45x = 218,989.41 × 218,989.41
  4. Step 4: Simplify right side
    146,568.45x = 47,956,360,049.73
  5. Step 5: Solve for x
    x = 47,956,360,049.73/146,568.45
  6. Step 6: Final answer
    x = 327,194.30

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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.