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Finding the Third Proportional to 195,008 and 425,744

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Solution

The third proportional to 195,008 and 425,744 is: 929,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,008 : 425,744 = 425,744 : x
  2. Step 2: Convert to fraction form
    195,008/425,744 = 425,744/x
  3. Step 3: Cross multiply
    195,008x = 425,744 × 425,744
  4. Step 4: Simplify right side
    195,008x = 181,257,953,536
  5. Step 5: Solve for x
    x = 181,257,953,536/195,008
  6. Step 6: Final answer
    x = 929,489.83

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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.