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Finding the Third Proportional to 222,081.75 and 316,512.56

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Solution

The third proportional to 222,081.75 and 316,512.56 is: 451,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,081.75 : 316,512.56 = 316,512.56 : x
  2. Step 2: Convert to fraction form
    222,081.75/316,512.56 = 316,512.56/x
  3. Step 3: Cross multiply
    222,081.75x = 316,512.56 × 316,512.56
  4. Step 4: Simplify right side
    222,081.75x = 100,180,202,220.32
  5. Step 5: Solve for x
    x = 100,180,202,220.32/222,081.75
  6. Step 6: Final answer
    x = 451,096.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.