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Finding the Third Proportional to 195,229 and 395,890.50

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Solution

The third proportional to 195,229 and 395,890.50 is: 802,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,229 : 395,890.50 = 395,890.50 : x
  2. Step 2: Convert to fraction form
    195,229/395,890.50 = 395,890.50/x
  3. Step 3: Cross multiply
    195,229x = 395,890.50 × 395,890.50
  4. Step 4: Simplify right side
    195,229x = 156,729,287,990.25
  5. Step 5: Solve for x
    x = 156,729,287,990.25/195,229
  6. Step 6: Final answer
    x = 802,797.17

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