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Finding the Third Proportional to 203,796 and 271,800

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Solution

The third proportional to 203,796 and 271,800 is: 362,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,796 : 271,800 = 271,800 : x
  2. Step 2: Convert to fraction form
    203,796/271,800 = 271,800/x
  3. Step 3: Cross multiply
    203,796x = 271,800 × 271,800
  4. Step 4: Simplify right side
    203,796x = 73,875,240,000
  5. Step 5: Solve for x
    x = 73,875,240,000/203,796
  6. Step 6: Final answer
    x = 362,496.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.