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Finding the Third Proportional to 133,078 and 200,999

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Solution

The third proportional to 133,078 and 200,999 is: 303,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078 : 200,999 = 200,999 : x
  2. Step 2: Convert to fraction form
    133,078/200,999 = 200,999/x
  3. Step 3: Cross multiply
    133,078x = 200,999 × 200,999
  4. Step 4: Simplify right side
    133,078x = 40,400,598,001
  5. Step 5: Solve for x
    x = 40,400,598,001/133,078
  6. Step 6: Final answer
    x = 303,585.85

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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.