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Finding the Third Proportional to 195,240.38 and 395,912.81

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Solution

The third proportional to 195,240.38 and 395,912.81 is: 802,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,240.38 : 395,912.81 = 395,912.81 : x
  2. Step 2: Convert to fraction form
    195,240.38/395,912.81 = 395,912.81/x
  3. Step 3: Cross multiply
    195,240.38x = 395,912.81 × 395,912.81
  4. Step 4: Simplify right side
    195,240.38x = 156,746,955,101.66
  5. Step 5: Solve for x
    x = 156,746,955,101.66/195,240.38
  6. Step 6: Final answer
    x = 802,840.88

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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.