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Finding the Third Proportional to 133,869 and 200,817

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Solution

The third proportional to 133,869 and 200,817 is: 301,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,869 : 200,817 = 200,817 : x
  2. Step 2: Convert to fraction form
    133,869/200,817 = 200,817/x
  3. Step 3: Cross multiply
    133,869x = 200,817 × 200,817
  4. Step 4: Simplify right side
    133,869x = 40,327,467,489
  5. Step 5: Solve for x
    x = 40,327,467,489/133,869
  6. Step 6: Final answer
    x = 301,245.75

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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.