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Finding the Third Proportional to 194,631.50 and 422,493.25

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Solution

The third proportional to 194,631.50 and 422,493.25 is: 917,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,631.50 : 422,493.25 = 422,493.25 : x
  2. Step 2: Convert to fraction form
    194,631.50/422,493.25 = 422,493.25/x
  3. Step 3: Cross multiply
    194,631.50x = 422,493.25 × 422,493.25
  4. Step 4: Simplify right side
    194,631.50x = 178,500,546,295.56
  5. Step 5: Solve for x
    x = 178,500,546,295.56/194,631.50
  6. Step 6: Final answer
    x = 917,120.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.