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Finding the Third Proportional to 84,794 and 197,153

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Solution

The third proportional to 84,794 and 197,153 is: 458,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,794 : 197,153 = 197,153 : x
  2. Step 2: Convert to fraction form
    84,794/197,153 = 197,153/x
  3. Step 3: Cross multiply
    84,794x = 197,153 × 197,153
  4. Step 4: Simplify right side
    84,794x = 38,869,305,409
  5. Step 5: Solve for x
    x = 38,869,305,409/84,794
  6. Step 6: Final answer
    x = 458,396.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.