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Finding the Third Proportional to 202,142.25 and 303,216.75

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Solution

The third proportional to 202,142.25 and 303,216.75 is: 454,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.25 : 303,216.75 = 303,216.75 : x
  2. Step 2: Convert to fraction form
    202,142.25/303,216.75 = 303,216.75/x
  3. Step 3: Cross multiply
    202,142.25x = 303,216.75 × 303,216.75
  4. Step 4: Simplify right side
    202,142.25x = 91,940,397,480.56
  5. Step 5: Solve for x
    x = 91,940,397,480.56/202,142.25
  6. Step 6: Final answer
    x = 454,830.19

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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.