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Finding the Third Proportional to 169,317 and 361,962

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Solution

The third proportional to 169,317 and 361,962 is: 773,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,317 : 361,962 = 361,962 : x
  2. Step 2: Convert to fraction form
    169,317/361,962 = 361,962/x
  3. Step 3: Cross multiply
    169,317x = 361,962 × 361,962
  4. Step 4: Simplify right side
    169,317x = 131,016,489,444
  5. Step 5: Solve for x
    x = 131,016,489,444/169,317
  6. Step 6: Final answer
    x = 773,794.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.