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Finding the Third Proportional to 195,974 and 294,225

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Solution

The third proportional to 195,974 and 294,225 is: 441,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,974 : 294,225 = 294,225 : x
  2. Step 2: Convert to fraction form
    195,974/294,225 = 294,225/x
  3. Step 3: Cross multiply
    195,974x = 294,225 × 294,225
  4. Step 4: Simplify right side
    195,974x = 86,568,350,625
  5. Step 5: Solve for x
    x = 86,568,350,625/195,974
  6. Step 6: Final answer
    x = 441,733.86

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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.