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Finding the Third Proportional to 202,506.80 and 303,183.55

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Solution

The third proportional to 202,506.80 and 303,183.55 is: 453,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,506.80 : 303,183.55 = 303,183.55 : x
  2. Step 2: Convert to fraction form
    202,506.80/303,183.55 = 303,183.55/x
  3. Step 3: Cross multiply
    202,506.80x = 303,183.55 × 303,183.55
  4. Step 4: Simplify right side
    202,506.80x = 91,920,267,240.79
  5. Step 5: Solve for x
    x = 91,920,267,240.79/202,506.80
  6. Step 6: Final answer
    x = 453,912.00

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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.