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Finding the Third Proportional to 195,137 and 425,635

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Solution

The third proportional to 195,137 and 425,635 is: 928,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,137 : 425,635 = 425,635 : x
  2. Step 2: Convert to fraction form
    195,137/425,635 = 425,635/x
  3. Step 3: Cross multiply
    195,137x = 425,635 × 425,635
  4. Step 4: Simplify right side
    195,137x = 181,165,153,225
  5. Step 5: Solve for x
    x = 181,165,153,225/195,137
  6. Step 6: Final answer
    x = 928,399.81

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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.