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Finding the Third Proportional to 173,234 and 378,868

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Solution

The third proportional to 173,234 and 378,868 is: 828,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,234 : 378,868 = 378,868 : x
  2. Step 2: Convert to fraction form
    173,234/378,868 = 378,868/x
  3. Step 3: Cross multiply
    173,234x = 378,868 × 378,868
  4. Step 4: Simplify right side
    173,234x = 143,540,961,424
  5. Step 5: Solve for x
    x = 143,540,961,424/173,234
  6. Step 6: Final answer
    x = 828,595.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.