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Finding the Third Proportional to 203,202 and 274,104

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Solution

The third proportional to 203,202 and 274,104 is: 369,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,202 : 274,104 = 274,104 : x
  2. Step 2: Convert to fraction form
    203,202/274,104 = 274,104/x
  3. Step 3: Cross multiply
    203,202x = 274,104 × 274,104
  4. Step 4: Simplify right side
    203,202x = 75,133,002,816
  5. Step 5: Solve for x
    x = 75,133,002,816/203,202
  6. Step 6: Final answer
    x = 369,745.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.