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Finding the Third Proportional to 172,944 and 372,568

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Solution

The third proportional to 172,944 and 372,568 is: 802,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,944 : 372,568 = 372,568 : x
  2. Step 2: Convert to fraction form
    172,944/372,568 = 372,568/x
  3. Step 3: Cross multiply
    172,944x = 372,568 × 372,568
  4. Step 4: Simplify right side
    172,944x = 138,806,914,624
  5. Step 5: Solve for x
    x = 138,806,914,624/172,944
  6. Step 6: Final answer
    x = 802,611.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.