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Finding the Third Proportional to 133,895 and 196,374

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Solution

The third proportional to 133,895 and 196,374 is: 288,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,895 : 196,374 = 196,374 : x
  2. Step 2: Convert to fraction form
    133,895/196,374 = 196,374/x
  3. Step 3: Cross multiply
    133,895x = 196,374 × 196,374
  4. Step 4: Simplify right side
    133,895x = 38,562,747,876
  5. Step 5: Solve for x
    x = 38,562,747,876/133,895
  6. Step 6: Final answer
    x = 288,007.38

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Why These Related Problems?

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