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Finding the Third Proportional to 193,494 and 298,986

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Solution

The third proportional to 193,494 and 298,986 is: 461,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,494 : 298,986 = 298,986 : x
  2. Step 2: Convert to fraction form
    193,494/298,986 = 298,986/x
  3. Step 3: Cross multiply
    193,494x = 298,986 × 298,986
  4. Step 4: Simplify right side
    193,494x = 89,392,628,196
  5. Step 5: Solve for x
    x = 89,392,628,196/193,494
  6. Step 6: Final answer
    x = 461,991.73

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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.