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Finding the Third Proportional to 157,201.50 and 222,225

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Solution

The third proportional to 157,201.50 and 222,225 is: 314,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,201.50 : 222,225 = 222,225 : x
  2. Step 2: Convert to fraction form
    157,201.50/222,225 = 222,225/x
  3. Step 3: Cross multiply
    157,201.50x = 222,225 × 222,225
  4. Step 4: Simplify right side
    157,201.50x = 49,383,950,625
  5. Step 5: Solve for x
    x = 49,383,950,625/157,201.50
  6. Step 6: Final answer
    x = 314,144.27

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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.