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Finding the Third Proportional to 168,986.25 and 361,960.31

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Solution

The third proportional to 168,986.25 and 361,960.31 is: 775,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,986.25 : 361,960.31 = 361,960.31 : x
  2. Step 2: Convert to fraction form
    168,986.25/361,960.31 = 361,960.31/x
  3. Step 3: Cross multiply
    168,986.25x = 361,960.31 × 361,960.31
  4. Step 4: Simplify right side
    168,986.25x = 131,015,267,825.10
  5. Step 5: Solve for x
    x = 131,015,267,825.10/168,986.25
  6. Step 6: Final answer
    x = 775,301.35

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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.