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Finding the Third Proportional to 185,474 and 270,435

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Solution

The third proportional to 185,474 and 270,435 is: 394,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,474 : 270,435 = 270,435 : x
  2. Step 2: Convert to fraction form
    185,474/270,435 = 270,435/x
  3. Step 3: Cross multiply
    185,474x = 270,435 × 270,435
  4. Step 4: Simplify right side
    185,474x = 73,135,089,225
  5. Step 5: Solve for x
    x = 73,135,089,225/185,474
  6. Step 6: Final answer
    x = 394,314.51

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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.