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Finding the Third Proportional to 131,302 and 196,908

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Solution

The third proportional to 131,302 and 196,908 is: 295,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,302 : 196,908 = 196,908 : x
  2. Step 2: Convert to fraction form
    131,302/196,908 = 196,908/x
  3. Step 3: Cross multiply
    131,302x = 196,908 × 196,908
  4. Step 4: Simplify right side
    131,302x = 38,772,760,464
  5. Step 5: Solve for x
    x = 38,772,760,464/131,302
  6. Step 6: Final answer
    x = 295,294.52

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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.