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Finding the Third Proportional to 196,474 and 295,857

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Solution

The third proportional to 196,474 and 295,857 is: 445,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,474 : 295,857 = 295,857 : x
  2. Step 2: Convert to fraction form
    196,474/295,857 = 295,857/x
  3. Step 3: Cross multiply
    196,474x = 295,857 × 295,857
  4. Step 4: Simplify right side
    196,474x = 87,531,364,449
  5. Step 5: Solve for x
    x = 87,531,364,449/196,474
  6. Step 6: Final answer
    x = 445,511.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.