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Finding the Third Proportional to 195,266 and 395,964

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Solution

The third proportional to 195,266 and 395,964 is: 802,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,266 : 395,964 = 395,964 : x
  2. Step 2: Convert to fraction form
    195,266/395,964 = 395,964/x
  3. Step 3: Cross multiply
    195,266x = 395,964 × 395,964
  4. Step 4: Simplify right side
    195,266x = 156,787,489,296
  5. Step 5: Solve for x
    x = 156,787,489,296/195,266
  6. Step 6: Final answer
    x = 802,943.11

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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.