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Finding the Third Proportional to 173,204 and 372,192.50

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Solution

The third proportional to 173,204 and 372,192.50 is: 799,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,204 : 372,192.50 = 372,192.50 : x
  2. Step 2: Convert to fraction form
    173,204/372,192.50 = 372,192.50/x
  3. Step 3: Cross multiply
    173,204x = 372,192.50 × 372,192.50
  4. Step 4: Simplify right side
    173,204x = 138,527,257,056.25
  5. Step 5: Solve for x
    x = 138,527,257,056.25/173,204
  6. Step 6: Final answer
    x = 799,792.48

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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.