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Finding the Third Proportional to 161,847 and 330,111

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Solution

The third proportional to 161,847 and 330,111 is: 673,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,847 : 330,111 = 330,111 : x
  2. Step 2: Convert to fraction form
    161,847/330,111 = 330,111/x
  3. Step 3: Cross multiply
    161,847x = 330,111 × 330,111
  4. Step 4: Simplify right side
    161,847x = 108,973,272,321
  5. Step 5: Solve for x
    x = 108,973,272,321/161,847
  6. Step 6: Final answer
    x = 673,310.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.