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Finding the Third Proportional to 195,242 and 395,917

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Solution

The third proportional to 195,242 and 395,917 is: 802,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,242 : 395,917 = 395,917 : x
  2. Step 2: Convert to fraction form
    195,242/395,917 = 395,917/x
  3. Step 3: Cross multiply
    195,242x = 395,917 × 395,917
  4. Step 4: Simplify right side
    195,242x = 156,750,270,889
  5. Step 5: Solve for x
    x = 156,750,270,889/195,242
  6. Step 6: Final answer
    x = 802,851.18

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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.