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Finding the Third Proportional to 140,260.50 and 197,286.75

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Solution

The third proportional to 140,260.50 and 197,286.75 is: 277,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,260.50 : 197,286.75 = 197,286.75 : x
  2. Step 2: Convert to fraction form
    140,260.50/197,286.75 = 197,286.75/x
  3. Step 3: Cross multiply
    140,260.50x = 197,286.75 × 197,286.75
  4. Step 4: Simplify right side
    140,260.50x = 38,922,061,725.56
  5. Step 5: Solve for x
    x = 38,922,061,725.56/140,260.50
  6. Step 6: Final answer
    x = 277,498.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.