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Finding the Third Proportional to 133,841 and 196,293

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Solution

The third proportional to 133,841 and 196,293 is: 287,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,841 : 196,293 = 196,293 : x
  2. Step 2: Convert to fraction form
    133,841/196,293 = 196,293/x
  3. Step 3: Cross multiply
    133,841x = 196,293 × 196,293
  4. Step 4: Simplify right side
    133,841x = 38,530,941,849
  5. Step 5: Solve for x
    x = 38,530,941,849/133,841
  6. Step 6: Final answer
    x = 287,885.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.