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Finding the Third Proportional to 157,084 and 222,092

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Solution

The third proportional to 157,084 and 222,092 is: 314,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,084 : 222,092 = 222,092 : x
  2. Step 2: Convert to fraction form
    157,084/222,092 = 222,092/x
  3. Step 3: Cross multiply
    157,084x = 222,092 × 222,092
  4. Step 4: Simplify right side
    157,084x = 49,324,856,464
  5. Step 5: Solve for x
    x = 49,324,856,464/157,084
  6. Step 6: Final answer
    x = 314,003.06

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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.