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Finding the Third Proportional to 133,049 and 200,954

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Solution

The third proportional to 133,049 and 200,954 is: 303,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,049 : 200,954 = 200,954 : x
  2. Step 2: Convert to fraction form
    133,049/200,954 = 200,954/x
  3. Step 3: Cross multiply
    133,049x = 200,954 × 200,954
  4. Step 4: Simplify right side
    133,049x = 40,382,510,116
  5. Step 5: Solve for x
    x = 40,382,510,116/133,049
  6. Step 6: Final answer
    x = 303,516.07

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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.