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Finding the Third Proportional to 193,376 and 298,811

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Solution

The third proportional to 193,376 and 298,811 is: 461,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,376 : 298,811 = 298,811 : x
  2. Step 2: Convert to fraction form
    193,376/298,811 = 298,811/x
  3. Step 3: Cross multiply
    193,376x = 298,811 × 298,811
  4. Step 4: Simplify right side
    193,376x = 89,288,013,721
  5. Step 5: Solve for x
    x = 89,288,013,721/193,376
  6. Step 6: Final answer
    x = 461,732.65

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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.