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Finding the Third Proportional to 172,995.75 and 374,422.92

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Solution

The third proportional to 172,995.75 and 374,422.92 is: 810,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,995.75 : 374,422.92 = 374,422.92 : x
  2. Step 2: Convert to fraction form
    172,995.75/374,422.92 = 374,422.92/x
  3. Step 3: Cross multiply
    172,995.75x = 374,422.92 × 374,422.92
  4. Step 4: Simplify right side
    172,995.75x = 140,192,524,425.41
  5. Step 5: Solve for x
    x = 140,192,524,425.41/172,995.75
  6. Step 6: Final answer
    x = 810,381.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.