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Finding the Third Proportional to 133,506.75 and 200,286.50

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Solution

The third proportional to 133,506.75 and 200,286.50 is: 300,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,506.75 : 200,286.50 = 200,286.50 : x
  2. Step 2: Convert to fraction form
    133,506.75/200,286.50 = 200,286.50/x
  3. Step 3: Cross multiply
    133,506.75x = 200,286.50 × 200,286.50
  4. Step 4: Simplify right side
    133,506.75x = 40,114,682,082.25
  5. Step 5: Solve for x
    x = 40,114,682,082.25/133,506.75
  6. Step 6: Final answer
    x = 300,469.32

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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.