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Finding the Third Proportional to 171,380 and 273,675

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Solution

The third proportional to 171,380 and 273,675 is: 437,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,380 : 273,675 = 273,675 : x
  2. Step 2: Convert to fraction form
    171,380/273,675 = 273,675/x
  3. Step 3: Cross multiply
    171,380x = 273,675 × 273,675
  4. Step 4: Simplify right side
    171,380x = 74,898,005,625
  5. Step 5: Solve for x
    x = 74,898,005,625/171,380
  6. Step 6: Final answer
    x = 437,028.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.