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Finding the Third Proportional to 236,100 and 356,126

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Solution

The third proportional to 236,100 and 356,126 is: 537,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,100 : 356,126 = 356,126 : x
  2. Step 2: Convert to fraction form
    236,100/356,126 = 356,126/x
  3. Step 3: Cross multiply
    236,100x = 356,126 × 356,126
  4. Step 4: Simplify right side
    236,100x = 126,825,727,876
  5. Step 5: Solve for x
    x = 126,825,727,876/236,100
  6. Step 6: Final answer
    x = 537,169.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.