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Finding the Third Proportional to 173,168 and 380,375

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Solution

The third proportional to 173,168 and 380,375 is: 835,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,168 : 380,375 = 380,375 : x
  2. Step 2: Convert to fraction form
    173,168/380,375 = 380,375/x
  3. Step 3: Cross multiply
    173,168x = 380,375 × 380,375
  4. Step 4: Simplify right side
    173,168x = 144,685,140,625
  5. Step 5: Solve for x
    x = 144,685,140,625/173,168
  6. Step 6: Final answer
    x = 835,518.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.