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Finding the Third Proportional to 202,134 and 303,174.75

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Solution

The third proportional to 202,134 and 303,174.75 is: 454,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,134 : 303,174.75 = 303,174.75 : x
  2. Step 2: Convert to fraction form
    202,134/303,174.75 = 303,174.75/x
  3. Step 3: Cross multiply
    202,134x = 303,174.75 × 303,174.75
  4. Step 4: Simplify right side
    202,134x = 91,914,929,037.56
  5. Step 5: Solve for x
    x = 91,914,929,037.56/202,134
  6. Step 6: Final answer
    x = 454,722.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.