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Finding the Third Proportional to 168,082.25 and 364,165.75

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Solution

The third proportional to 168,082.25 and 364,165.75 is: 788,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,082.25 : 364,165.75 = 364,165.75 : x
  2. Step 2: Convert to fraction form
    168,082.25/364,165.75 = 364,165.75/x
  3. Step 3: Cross multiply
    168,082.25x = 364,165.75 × 364,165.75
  4. Step 4: Simplify right side
    168,082.25x = 132,616,693,473.06
  5. Step 5: Solve for x
    x = 132,616,693,473.06/168,082.25
  6. Step 6: Final answer
    x = 788,998.80

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Why These Related Problems?

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