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Finding the Third Proportional to 193,158 and 298,485

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Solution

The third proportional to 193,158 and 298,485 is: 461,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,158 : 298,485 = 298,485 : x
  2. Step 2: Convert to fraction form
    193,158/298,485 = 298,485/x
  3. Step 3: Cross multiply
    193,158x = 298,485 × 298,485
  4. Step 4: Simplify right side
    193,158x = 89,093,295,225
  5. Step 5: Solve for x
    x = 89,093,295,225/193,158
  6. Step 6: Final answer
    x = 461,245.69

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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.