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Finding the Third Proportional to 131,434 and 203,892

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Solution

The third proportional to 131,434 and 203,892 is: 316,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,434 : 203,892 = 203,892 : x
  2. Step 2: Convert to fraction form
    131,434/203,892 = 203,892/x
  3. Step 3: Cross multiply
    131,434x = 203,892 × 203,892
  4. Step 4: Simplify right side
    131,434x = 41,571,947,664
  5. Step 5: Solve for x
    x = 41,571,947,664/131,434
  6. Step 6: Final answer
    x = 316,295.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.