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Finding the Third Proportional to 133,861 and 196,320

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Solution

The third proportional to 133,861 and 196,320 is: 287,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,861 : 196,320 = 196,320 : x
  2. Step 2: Convert to fraction form
    133,861/196,320 = 196,320/x
  3. Step 3: Cross multiply
    133,861x = 196,320 × 196,320
  4. Step 4: Simplify right side
    133,861x = 38,541,542,400
  5. Step 5: Solve for x
    x = 38,541,542,400/133,861
  6. Step 6: Final answer
    x = 287,922.12

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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.