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Finding the Third Proportional to 168,334 and 362,906

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Solution

The third proportional to 168,334 and 362,906 is: 782,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,334 : 362,906 = 362,906 : x
  2. Step 2: Convert to fraction form
    168,334/362,906 = 362,906/x
  3. Step 3: Cross multiply
    168,334x = 362,906 × 362,906
  4. Step 4: Simplify right side
    168,334x = 131,700,764,836
  5. Step 5: Solve for x
    x = 131,700,764,836/168,334
  6. Step 6: Final answer
    x = 782,377.68

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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.