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Finding the Third Proportional to 201,723 and 274,096

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Solution

The third proportional to 201,723 and 274,096 is: 372,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,723 : 274,096 = 274,096 : x
  2. Step 2: Convert to fraction form
    201,723/274,096 = 274,096/x
  3. Step 3: Cross multiply
    201,723x = 274,096 × 274,096
  4. Step 4: Simplify right side
    201,723x = 75,128,617,216
  5. Step 5: Solve for x
    x = 75,128,617,216/201,723
  6. Step 6: Final answer
    x = 372,434.56

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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.