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Finding the Third Proportional to 193,363.50 and 298,794

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Solution

The third proportional to 193,363.50 and 298,794 is: 461,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,363.50 : 298,794 = 298,794 : x
  2. Step 2: Convert to fraction form
    193,363.50/298,794 = 298,794/x
  3. Step 3: Cross multiply
    193,363.50x = 298,794 × 298,794
  4. Step 4: Simplify right side
    193,363.50x = 89,277,854,436
  5. Step 5: Solve for x
    x = 89,277,854,436/193,363.50
  6. Step 6: Final answer
    x = 461,709.96

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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.