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Finding the Third Proportional to 195,231 and 395,895

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Solution

The third proportional to 195,231 and 395,895 is: 802,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,231 : 395,895 = 395,895 : x
  2. Step 2: Convert to fraction form
    195,231/395,895 = 395,895/x
  3. Step 3: Cross multiply
    195,231x = 395,895 × 395,895
  4. Step 4: Simplify right side
    195,231x = 156,732,851,025
  5. Step 5: Solve for x
    x = 156,732,851,025/195,231
  6. Step 6: Final answer
    x = 802,807.19

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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.