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Finding the Third Proportional to 201,249 and 419,034

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Solution

The third proportional to 201,249 and 419,034 is: 872,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,249 : 419,034 = 419,034 : x
  2. Step 2: Convert to fraction form
    201,249/419,034 = 419,034/x
  3. Step 3: Cross multiply
    201,249x = 419,034 × 419,034
  4. Step 4: Simplify right side
    201,249x = 175,589,493,156
  5. Step 5: Solve for x
    x = 175,589,493,156/201,249
  6. Step 6: Final answer
    x = 872,498.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.