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Finding the Third Proportional to 185,431 and 251,892

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Solution

The third proportional to 185,431 and 251,892 is: 342,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,431 : 251,892 = 251,892 : x
  2. Step 2: Convert to fraction form
    185,431/251,892 = 251,892/x
  3. Step 3: Cross multiply
    185,431x = 251,892 × 251,892
  4. Step 4: Simplify right side
    185,431x = 63,449,579,664
  5. Step 5: Solve for x
    x = 63,449,579,664/185,431
  6. Step 6: Final answer
    x = 342,173.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.