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Finding the Third Proportional to 202,814 and 303,912

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Solution

The third proportional to 202,814 and 303,912 is: 455,404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,814 : 303,912 = 303,912 : x
  2. Step 2: Convert to fraction form
    202,814/303,912 = 303,912/x
  3. Step 3: Cross multiply
    202,814x = 303,912 × 303,912
  4. Step 4: Simplify right side
    202,814x = 92,362,503,744
  5. Step 5: Solve for x
    x = 92,362,503,744/202,814
  6. Step 6: Final answer
    x = 455,404.97

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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.