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Finding the Third Proportional to 195,171 and 426,060

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Solution

The third proportional to 195,171 and 426,060 is: 930,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,171 : 426,060 = 426,060 : x
  2. Step 2: Convert to fraction form
    195,171/426,060 = 426,060/x
  3. Step 3: Cross multiply
    195,171x = 426,060 × 426,060
  4. Step 4: Simplify right side
    195,171x = 181,527,123,600
  5. Step 5: Solve for x
    x = 181,527,123,600/195,171
  6. Step 6: Final answer
    x = 930,092.71

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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.