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Finding the Third Proportional to 193,922 and 300,099

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Solution

The third proportional to 193,922 and 300,099 is: 464,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,922 : 300,099 = 300,099 : x
  2. Step 2: Convert to fraction form
    193,922/300,099 = 300,099/x
  3. Step 3: Cross multiply
    193,922x = 300,099 × 300,099
  4. Step 4: Simplify right side
    193,922x = 90,059,409,801
  5. Step 5: Solve for x
    x = 90,059,409,801/193,922
  6. Step 6: Final answer
    x = 464,410.48

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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.