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Finding the Third Proportional to 131,444 and 196,942

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Solution

The third proportional to 131,444 and 196,942 is: 295,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,444 : 196,942 = 196,942 : x
  2. Step 2: Convert to fraction form
    131,444/196,942 = 196,942/x
  3. Step 3: Cross multiply
    131,444x = 196,942 × 196,942
  4. Step 4: Simplify right side
    131,444x = 38,786,151,364
  5. Step 5: Solve for x
    x = 38,786,151,364/131,444
  6. Step 6: Final answer
    x = 295,077.38

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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.