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Finding the Third Proportional to 192,932 and 298,704

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Solution

The third proportional to 192,932 and 298,704 is: 462,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,932 : 298,704 = 298,704 : x
  2. Step 2: Convert to fraction form
    192,932/298,704 = 298,704/x
  3. Step 3: Cross multiply
    192,932x = 298,704 × 298,704
  4. Step 4: Simplify right side
    192,932x = 89,224,079,616
  5. Step 5: Solve for x
    x = 89,224,079,616/192,932
  6. Step 6: Final answer
    x = 462,463.87

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Why These Related Problems?

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