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Finding the Third Proportional to 199,381.50 and 274,149.56

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Solution

The third proportional to 199,381.50 and 274,149.56 is: 376,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,381.50 : 274,149.56 = 274,149.56 : x
  2. Step 2: Convert to fraction form
    199,381.50/274,149.56 = 274,149.56/x
  3. Step 3: Cross multiply
    199,381.50x = 274,149.56 × 274,149.56
  4. Step 4: Simplify right side
    199,381.50x = 75,157,982,618.94
  5. Step 5: Solve for x
    x = 75,157,982,618.94/199,381.50
  6. Step 6: Final answer
    x = 376,955.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.