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Finding the Third Proportional to 192,786.75 and 430,285.50

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Solution

The third proportional to 192,786.75 and 430,285.50 is: 960,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,786.75 : 430,285.50 = 430,285.50 : x
  2. Step 2: Convert to fraction form
    192,786.75/430,285.50 = 430,285.50/x
  3. Step 3: Cross multiply
    192,786.75x = 430,285.50 × 430,285.50
  4. Step 4: Simplify right side
    192,786.75x = 185,145,611,510.25
  5. Step 5: Solve for x
    x = 185,145,611,510.25/192,786.75
  6. Step 6: Final answer
    x = 960,364.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.