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Finding the Third Proportional to 185,190 and 271,203

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Solution

The third proportional to 185,190 and 271,203 is: 397,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,190 : 271,203 = 271,203 : x
  2. Step 2: Convert to fraction form
    185,190/271,203 = 271,203/x
  3. Step 3: Cross multiply
    185,190x = 271,203 × 271,203
  4. Step 4: Simplify right side
    185,190x = 73,551,067,209
  5. Step 5: Solve for x
    x = 73,551,067,209/185,190
  6. Step 6: Final answer
    x = 397,165.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.