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Finding the Third Proportional to 133,074 and 200,993

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Solution

The third proportional to 133,074 and 200,993 is: 303,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,074 : 200,993 = 200,993 : x
  2. Step 2: Convert to fraction form
    133,074/200,993 = 200,993/x
  3. Step 3: Cross multiply
    133,074x = 200,993 × 200,993
  4. Step 4: Simplify right side
    133,074x = 40,398,186,049
  5. Step 5: Solve for x
    x = 40,398,186,049/133,074
  6. Step 6: Final answer
    x = 303,576.85

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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.