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Finding the Third Proportional to 195,243 and 395,919

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Solution

The third proportional to 195,243 and 395,919 is: 802,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,243 : 395,919 = 395,919 : x
  2. Step 2: Convert to fraction form
    195,243/395,919 = 395,919/x
  3. Step 3: Cross multiply
    195,243x = 395,919 × 395,919
  4. Step 4: Simplify right side
    195,243x = 156,751,854,561
  5. Step 5: Solve for x
    x = 156,751,854,561/195,243
  6. Step 6: Final answer
    x = 802,855.18

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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.