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Finding the Third Proportional to 195,220.13 and 395,873.44

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Solution

The third proportional to 195,220.13 and 395,873.44 is: 802,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,220.13 : 395,873.44 = 395,873.44 : x
  2. Step 2: Convert to fraction form
    195,220.13/395,873.44 = 395,873.44/x
  3. Step 3: Cross multiply
    195,220.13x = 395,873.44 × 395,873.44
  4. Step 4: Simplify right side
    195,220.13x = 156,715,778,518.07
  5. Step 5: Solve for x
    x = 156,715,778,518.07/195,220.13
  6. Step 6: Final answer
    x = 802,764.46

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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.