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Finding the Third Proportional to 218,623.50 and 332,471.25

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Solution

The third proportional to 218,623.50 and 332,471.25 is: 505,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,623.50 : 332,471.25 = 332,471.25 : x
  2. Step 2: Convert to fraction form
    218,623.50/332,471.25 = 332,471.25/x
  3. Step 3: Cross multiply
    218,623.50x = 332,471.25 × 332,471.25
  4. Step 4: Simplify right side
    218,623.50x = 110,537,132,076.56
  5. Step 5: Solve for x
    x = 110,537,132,076.56/218,623.50
  6. Step 6: Final answer
    x = 505,604.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.