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Finding the Third Proportional to 192,926 and 298,695

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Solution

The third proportional to 192,926 and 298,695 is: 462,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,926 : 298,695 = 298,695 : x
  2. Step 2: Convert to fraction form
    192,926/298,695 = 298,695/x
  3. Step 3: Cross multiply
    192,926x = 298,695 × 298,695
  4. Step 4: Simplify right side
    192,926x = 89,218,703,025
  5. Step 5: Solve for x
    x = 89,218,703,025/192,926
  6. Step 6: Final answer
    x = 462,450.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.