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Finding the Third Proportional to 133,506.56 and 200,286.56

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Solution

The third proportional to 133,506.56 and 200,286.56 is: 300,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,506.56 : 200,286.56 = 200,286.56 : x
  2. Step 2: Convert to fraction form
    133,506.56/200,286.56 = 200,286.56/x
  3. Step 3: Cross multiply
    133,506.56x = 200,286.56 × 200,286.56
  4. Step 4: Simplify right side
    133,506.56x = 40,114,707,118.07
  5. Step 5: Solve for x
    x = 40,114,707,118.07/133,506.56
  6. Step 6: Final answer
    x = 300,469.93

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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.