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Finding the Third Proportional to 131,248 and 196,996

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Solution

The third proportional to 131,248 and 196,996 is: 295,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,248 : 196,996 = 196,996 : x
  2. Step 2: Convert to fraction form
    131,248/196,996 = 196,996/x
  3. Step 3: Cross multiply
    131,248x = 196,996 × 196,996
  4. Step 4: Simplify right side
    131,248x = 38,807,424,016
  5. Step 5: Solve for x
    x = 38,807,424,016/131,248
  6. Step 6: Final answer
    x = 295,680.12

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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.