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Finding the Third Proportional to 173,176 and 378,110

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Solution

The third proportional to 173,176 and 378,110 is: 825,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,176 : 378,110 = 378,110 : x
  2. Step 2: Convert to fraction form
    173,176/378,110 = 378,110/x
  3. Step 3: Cross multiply
    173,176x = 378,110 × 378,110
  4. Step 4: Simplify right side
    173,176x = 142,967,172,100
  5. Step 5: Solve for x
    x = 142,967,172,100/173,176
  6. Step 6: Final answer
    x = 825,559.96

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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.