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Finding the Third Proportional to 131,280 and 196,872

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Solution

The third proportional to 131,280 and 196,872 is: 295,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,280 : 196,872 = 196,872 : x
  2. Step 2: Convert to fraction form
    131,280/196,872 = 196,872/x
  3. Step 3: Cross multiply
    131,280x = 196,872 × 196,872
  4. Step 4: Simplify right side
    131,280x = 38,758,584,384
  5. Step 5: Solve for x
    x = 38,758,584,384/131,280
  6. Step 6: Final answer
    x = 295,236.02

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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.