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Finding the Third Proportional to 178,175 and 384,198

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Solution

The third proportional to 178,175 and 384,198 is: 828,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,175 : 384,198 = 384,198 : x
  2. Step 2: Convert to fraction form
    178,175/384,198 = 384,198/x
  3. Step 3: Cross multiply
    178,175x = 384,198 × 384,198
  4. Step 4: Simplify right side
    178,175x = 147,608,103,204
  5. Step 5: Solve for x
    x = 147,608,103,204/178,175
  6. Step 6: Final answer
    x = 828,444.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.