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Finding the Third Proportional to 131,322 and 196,935

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Solution

The third proportional to 131,322 and 196,935 is: 295,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,322 : 196,935 = 196,935 : x
  2. Step 2: Convert to fraction form
    131,322/196,935 = 196,935/x
  3. Step 3: Cross multiply
    131,322x = 196,935 × 196,935
  4. Step 4: Simplify right side
    131,322x = 38,783,394,225
  5. Step 5: Solve for x
    x = 38,783,394,225/131,322
  6. Step 6: Final answer
    x = 295,330.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.