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Finding the Third Proportional to 131,042 and 196,357

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Solution

The third proportional to 131,042 and 196,357 is: 294,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,042 : 196,357 = 196,357 : x
  2. Step 2: Convert to fraction form
    131,042/196,357 = 196,357/x
  3. Step 3: Cross multiply
    131,042x = 196,357 × 196,357
  4. Step 4: Simplify right side
    131,042x = 38,556,071,449
  5. Step 5: Solve for x
    x = 38,556,071,449/131,042
  6. Step 6: Final answer
    x = 294,226.82

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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.