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Finding the Third Proportional to 131,192 and 196,814

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Solution

The third proportional to 131,192 and 196,814 is: 295,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,192 : 196,814 = 196,814 : x
  2. Step 2: Convert to fraction form
    131,192/196,814 = 196,814/x
  3. Step 3: Cross multiply
    131,192x = 196,814 × 196,814
  4. Step 4: Simplify right side
    131,192x = 38,735,750,596
  5. Step 5: Solve for x
    x = 38,735,750,596/131,192
  6. Step 6: Final answer
    x = 295,260.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.