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Finding the Third Proportional to 201,838 and 274,234

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Solution

The third proportional to 201,838 and 274,234 is: 372,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838 : 274,234 = 274,234 : x
  2. Step 2: Convert to fraction form
    201,838/274,234 = 274,234/x
  3. Step 3: Cross multiply
    201,838x = 274,234 × 274,234
  4. Step 4: Simplify right side
    201,838x = 75,204,286,756
  5. Step 5: Solve for x
    x = 75,204,286,756/201,838
  6. Step 6: Final answer
    x = 372,597.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.