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Finding the Third Proportional to 131,219 and 196,792

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Solution

The third proportional to 131,219 and 196,792 is: 295,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,219 : 196,792 = 196,792 : x
  2. Step 2: Convert to fraction form
    131,219/196,792 = 196,792/x
  3. Step 3: Cross multiply
    131,219x = 196,792 × 196,792
  4. Step 4: Simplify right side
    131,219x = 38,727,091,264
  5. Step 5: Solve for x
    x = 38,727,091,264/131,219
  6. Step 6: Final answer
    x = 295,133.26

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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.