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Finding the Third Proportional to 96,410 and 197,517

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Solution

The third proportional to 96,410 and 197,517 is: 404,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,410 : 197,517 = 197,517 : x
  2. Step 2: Convert to fraction form
    96,410/197,517 = 197,517/x
  3. Step 3: Cross multiply
    96,410x = 197,517 × 197,517
  4. Step 4: Simplify right side
    96,410x = 39,012,965,289
  5. Step 5: Solve for x
    x = 39,012,965,289/96,410
  6. Step 6: Final answer
    x = 404,656.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.