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Finding the Third Proportional to 172,034 and 273,923

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Solution

The third proportional to 172,034 and 273,923 is: 436,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,034 : 273,923 = 273,923 : x
  2. Step 2: Convert to fraction form
    172,034/273,923 = 273,923/x
  3. Step 3: Cross multiply
    172,034x = 273,923 × 273,923
  4. Step 4: Simplify right side
    172,034x = 75,033,809,929
  5. Step 5: Solve for x
    x = 75,033,809,929/172,034
  6. Step 6: Final answer
    x = 436,156.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.