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Finding the Third Proportional to 95,600 and 197,338

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Solution

The third proportional to 95,600 and 197,338 is: 407,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,600 : 197,338 = 197,338 : x
  2. Step 2: Convert to fraction form
    95,600/197,338 = 197,338/x
  3. Step 3: Cross multiply
    95,600x = 197,338 × 197,338
  4. Step 4: Simplify right side
    95,600x = 38,942,286,244
  5. Step 5: Solve for x
    x = 38,942,286,244/95,600
  6. Step 6: Final answer
    x = 407,346.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.