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Finding the Third Proportional to 168,097.50 and 364,194

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Solution

The third proportional to 168,097.50 and 364,194 is: 789,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,097.50 : 364,194 = 364,194 : x
  2. Step 2: Convert to fraction form
    168,097.50/364,194 = 364,194/x
  3. Step 3: Cross multiply
    168,097.50x = 364,194 × 364,194
  4. Step 4: Simplify right side
    168,097.50x = 132,637,269,636
  5. Step 5: Solve for x
    x = 132,637,269,636/168,097.50
  6. Step 6: Final answer
    x = 789,049.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.