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Finding the Third Proportional to 157,205.25 and 222,227.88

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Solution

The third proportional to 157,205.25 and 222,227.88 is: 314,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,205.25 : 222,227.88 = 222,227.88 : x
  2. Step 2: Convert to fraction form
    157,205.25/222,227.88 = 222,227.88/x
  3. Step 3: Cross multiply
    157,205.25x = 222,227.88 × 222,227.88
  4. Step 4: Simplify right side
    157,205.25x = 49,385,228,427.02
  5. Step 5: Solve for x
    x = 49,385,228,427.02/157,205.25
  6. Step 6: Final answer
    x = 314,144.91

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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.