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Finding the Third Proportional to 157,079.57 and 222,087.29

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Solution

The third proportional to 157,079.57 and 222,087.29 is: 313,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,079.57 : 222,087.29 = 222,087.29 : x
  2. Step 2: Convert to fraction form
    157,079.57/222,087.29 = 222,087.29/x
  3. Step 3: Cross multiply
    157,079.57x = 222,087.29 × 222,087.29
  4. Step 4: Simplify right side
    157,079.57x = 49,322,763,095.60
  5. Step 5: Solve for x
    x = 49,322,763,095.60/157,079.57
  6. Step 6: Final answer
    x = 313,998.59

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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.