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Finding the Third Proportional to 269,651 and 399,171

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Solution

The third proportional to 269,651 and 399,171 is: 590,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,651 : 399,171 = 399,171 : x
  2. Step 2: Convert to fraction form
    269,651/399,171 = 399,171/x
  3. Step 3: Cross multiply
    269,651x = 399,171 × 399,171
  4. Step 4: Simplify right side
    269,651x = 159,337,487,241
  5. Step 5: Solve for x
    x = 159,337,487,241/269,651
  6. Step 6: Final answer
    x = 590,902.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.