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Finding the Third Proportional to 202,812 and 303,909

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Solution

The third proportional to 202,812 and 303,909 is: 455,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,812 : 303,909 = 303,909 : x
  2. Step 2: Convert to fraction form
    202,812/303,909 = 303,909/x
  3. Step 3: Cross multiply
    202,812x = 303,909 × 303,909
  4. Step 4: Simplify right side
    202,812x = 92,360,680,281
  5. Step 5: Solve for x
    x = 92,360,680,281/202,812
  6. Step 6: Final answer
    x = 455,400.47

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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.