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Finding the Third Proportional to 131,280 and 196,880

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Solution

The third proportional to 131,280 and 196,880 is: 295,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,280 : 196,880 = 196,880 : x
  2. Step 2: Convert to fraction form
    131,280/196,880 = 196,880/x
  3. Step 3: Cross multiply
    131,280x = 196,880 × 196,880
  4. Step 4: Simplify right side
    131,280x = 38,761,734,400
  5. Step 5: Solve for x
    x = 38,761,734,400/131,280
  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.