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Finding the Third Proportional to 133,037 and 200,936

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Solution

The third proportional to 133,037 and 200,936 is: 303,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037 : 200,936 = 200,936 : x
  2. Step 2: Convert to fraction form
    133,037/200,936 = 200,936/x
  3. Step 3: Cross multiply
    133,037x = 200,936 × 200,936
  4. Step 4: Simplify right side
    133,037x = 40,375,276,096
  5. Step 5: Solve for x
    x = 40,375,276,096/133,037
  6. Step 6: Final answer
    x = 303,489.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.