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Finding the Third Proportional to 133,049 and 200,950

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Solution

The third proportional to 133,049 and 200,950 is: 303,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,049 : 200,950 = 200,950 : x
  2. Step 2: Convert to fraction form
    133,049/200,950 = 200,950/x
  3. Step 3: Cross multiply
    133,049x = 200,950 × 200,950
  4. Step 4: Simplify right side
    133,049x = 40,380,902,500
  5. Step 5: Solve for x
    x = 40,380,902,500/133,049
  6. Step 6: Final answer
    x = 303,503.99

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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.