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Finding the Third Proportional to 131,482 and 196,995

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Solution

The third proportional to 131,482 and 196,995 is: 295,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,482 : 196,995 = 196,995 : x
  2. Step 2: Convert to fraction form
    131,482/196,995 = 196,995/x
  3. Step 3: Cross multiply
    131,482x = 196,995 × 196,995
  4. Step 4: Simplify right side
    131,482x = 38,807,030,025
  5. Step 5: Solve for x
    x = 38,807,030,025/131,482
  6. Step 6: Final answer
    x = 295,150.90

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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.