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Finding the Third Proportional to 173,676 and 378,456

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Solution

The third proportional to 173,676 and 378,456 is: 824,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,676 : 378,456 = 378,456 : x
  2. Step 2: Convert to fraction form
    173,676/378,456 = 378,456/x
  3. Step 3: Cross multiply
    173,676x = 378,456 × 378,456
  4. Step 4: Simplify right side
    173,676x = 143,228,943,936
  5. Step 5: Solve for x
    x = 143,228,943,936/173,676
  6. Step 6: Final answer
    x = 824,690.48

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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.