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Finding the Third Proportional to 155,970 and 251,183

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Solution

The third proportional to 155,970 and 251,183 is: 404,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,970 : 251,183 = 251,183 : x
  2. Step 2: Convert to fraction form
    155,970/251,183 = 251,183/x
  3. Step 3: Cross multiply
    155,970x = 251,183 × 251,183
  4. Step 4: Simplify right side
    155,970x = 63,092,899,489
  5. Step 5: Solve for x
    x = 63,092,899,489/155,970
  6. Step 6: Final answer
    x = 404,519.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.