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Finding the Third Proportional to 168,991.50 and 361,969.50

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Solution

The third proportional to 168,991.50 and 361,969.50 is: 775,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,991.50 : 361,969.50 = 361,969.50 : x
  2. Step 2: Convert to fraction form
    168,991.50/361,969.50 = 361,969.50/x
  3. Step 3: Cross multiply
    168,991.50x = 361,969.50 × 361,969.50
  4. Step 4: Simplify right side
    168,991.50x = 131,021,918,930.25
  5. Step 5: Solve for x
    x = 131,021,918,930.25/168,991.50
  6. Step 6: Final answer
    x = 775,316.62

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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.