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Finding the Third Proportional to 195,806 and 417,214

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Solution

The third proportional to 195,806 and 417,214 is: 888,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,806 : 417,214 = 417,214 : x
  2. Step 2: Convert to fraction form
    195,806/417,214 = 417,214/x
  3. Step 3: Cross multiply
    195,806x = 417,214 × 417,214
  4. Step 4: Simplify right side
    195,806x = 174,067,521,796
  5. Step 5: Solve for x
    x = 174,067,521,796/195,806
  6. Step 6: Final answer
    x = 888,979.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.