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Finding the Third Proportional to 199,881 and 303,914

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Solution

The third proportional to 199,881 and 303,914 is: 462,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,881 : 303,914 = 303,914 : x
  2. Step 2: Convert to fraction form
    199,881/303,914 = 303,914/x
  3. Step 3: Cross multiply
    199,881x = 303,914 × 303,914
  4. Step 4: Simplify right side
    199,881x = 92,363,719,396
  5. Step 5: Solve for x
    x = 92,363,719,396/199,881
  6. Step 6: Final answer
    x = 462,093.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.