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Finding the Third Proportional to 195,063 and 425,847

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Solution

The third proportional to 195,063 and 425,847 is: 929,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,063 : 425,847 = 425,847 : x
  2. Step 2: Convert to fraction form
    195,063/425,847 = 425,847/x
  3. Step 3: Cross multiply
    195,063x = 425,847 × 425,847
  4. Step 4: Simplify right side
    195,063x = 181,345,667,409
  5. Step 5: Solve for x
    x = 181,345,667,409/195,063
  6. Step 6: Final answer
    x = 929,677.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.