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Finding the Third Proportional to 157,198.50 and 222,221.25

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Solution

The third proportional to 157,198.50 and 222,221.25 is: 314,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,198.50 : 222,221.25 = 222,221.25 : x
  2. Step 2: Convert to fraction form
    157,198.50/222,221.25 = 222,221.25/x
  3. Step 3: Cross multiply
    157,198.50x = 222,221.25 × 222,221.25
  4. Step 4: Simplify right side
    157,198.50x = 49,382,283,951.56
  5. Step 5: Solve for x
    x = 49,382,283,951.56/157,198.50
  6. Step 6: Final answer
    x = 314,139.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.