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Finding the Third Proportional to 168,546.75 and 364,086.75

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Solution

The third proportional to 168,546.75 and 364,086.75 is: 786,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,546.75 : 364,086.75 = 364,086.75 : x
  2. Step 2: Convert to fraction form
    168,546.75/364,086.75 = 364,086.75/x
  3. Step 3: Cross multiply
    168,546.75x = 364,086.75 × 364,086.75
  4. Step 4: Simplify right side
    168,546.75x = 132,559,161,525.56
  5. Step 5: Solve for x
    x = 132,559,161,525.56/168,546.75
  6. Step 6: Final answer
    x = 786,483.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.