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Finding the Third Proportional to 194,956 and 405,230

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Solution

The third proportional to 194,956 and 405,230 is: 842,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,956 : 405,230 = 405,230 : x
  2. Step 2: Convert to fraction form
    194,956/405,230 = 405,230/x
  3. Step 3: Cross multiply
    194,956x = 405,230 × 405,230
  4. Step 4: Simplify right side
    194,956x = 164,211,352,900
  5. Step 5: Solve for x
    x = 164,211,352,900/194,956
  6. Step 6: Final answer
    x = 842,299.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.