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Finding the Third Proportional to 173,796 and 378,696

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Solution

The third proportional to 173,796 and 378,696 is: 825,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,796 : 378,696 = 378,696 : x
  2. Step 2: Convert to fraction form
    173,796/378,696 = 378,696/x
  3. Step 3: Cross multiply
    173,796x = 378,696 × 378,696
  4. Step 4: Simplify right side
    173,796x = 143,410,660,416
  5. Step 5: Solve for x
    x = 143,410,660,416/173,796
  6. Step 6: Final answer
    x = 825,166.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.