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Finding the Third Proportional to 173,194 and 377,738

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Solution

The third proportional to 173,194 and 377,738 is: 823,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,194 : 377,738 = 377,738 : x
  2. Step 2: Convert to fraction form
    173,194/377,738 = 377,738/x
  3. Step 3: Cross multiply
    173,194x = 377,738 × 377,738
  4. Step 4: Simplify right side
    173,194x = 142,685,996,644
  5. Step 5: Solve for x
    x = 142,685,996,644/173,194
  6. Step 6: Final answer
    x = 823,850.69

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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.