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Finding the Third Proportional to 168,049.69 and 252,097.31

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Solution

The third proportional to 168,049.69 and 252,097.31 is: 378,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,049.69 : 252,097.31 = 252,097.31 : x
  2. Step 2: Convert to fraction form
    168,049.69/252,097.31 = 252,097.31/x
  3. Step 3: Cross multiply
    168,049.69x = 252,097.31 × 252,097.31
  4. Step 4: Simplify right side
    168,049.69x = 63,553,054,969.72
  5. Step 5: Solve for x
    x = 63,553,054,969.72/168,049.69
  6. Step 6: Final answer
    x = 378,180.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.