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Finding the Third Proportional to 195,234.75 and 395,903.25

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Solution

The third proportional to 195,234.75 and 395,903.25 is: 802,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,234.75 : 395,903.25 = 395,903.25 : x
  2. Step 2: Convert to fraction form
    195,234.75/395,903.25 = 395,903.25/x
  3. Step 3: Cross multiply
    195,234.75x = 395,903.25 × 395,903.25
  4. Step 4: Simplify right side
    195,234.75x = 156,739,383,360.56
  5. Step 5: Solve for x
    x = 156,739,383,360.56/195,234.75
  6. Step 6: Final answer
    x = 802,825.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.