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Finding the Third Proportional to 195,246 and 395,925

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Solution

The third proportional to 195,246 and 395,925 is: 802,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,246 : 395,925 = 395,925 : x
  2. Step 2: Convert to fraction form
    195,246/395,925 = 395,925/x
  3. Step 3: Cross multiply
    195,246x = 395,925 × 395,925
  4. Step 4: Simplify right side
    195,246x = 156,756,605,625
  5. Step 5: Solve for x
    x = 156,756,605,625/195,246
  6. Step 6: Final answer
    x = 802,867.18

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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.