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Finding the Third Proportional to 133,038 and 200,939.25

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Solution

The third proportional to 133,038 and 200,939.25 is: 303,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 200,939.25 = 200,939.25 : x
  2. Step 2: Convert to fraction form
    133,038/200,939.25 = 200,939.25/x
  3. Step 3: Cross multiply
    133,038x = 200,939.25 × 200,939.25
  4. Step 4: Simplify right side
    133,038x = 40,376,582,190.56
  5. Step 5: Solve for x
    x = 40,376,582,190.56/133,038
  6. Step 6: Final answer
    x = 303,496.61

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