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Finding the Third Proportional to 168,546 and 361,080.75

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Solution

The third proportional to 168,546 and 361,080.75 is: 773,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,546 : 361,080.75 = 361,080.75 : x
  2. Step 2: Convert to fraction form
    168,546/361,080.75 = 361,080.75/x
  3. Step 3: Cross multiply
    168,546x = 361,080.75 × 361,080.75
  4. Step 4: Simplify right side
    168,546x = 130,379,308,020.56
  5. Step 5: Solve for x
    x = 130,379,308,020.56/168,546
  6. Step 6: Final answer
    x = 773,553.26

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