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Finding the Third Proportional to 222,755.25 and 295,376.25

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Solution

The third proportional to 222,755.25 and 295,376.25 is: 391,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,755.25 : 295,376.25 = 295,376.25 : x
  2. Step 2: Convert to fraction form
    222,755.25/295,376.25 = 295,376.25/x
  3. Step 3: Cross multiply
    222,755.25x = 295,376.25 × 295,376.25
  4. Step 4: Simplify right side
    222,755.25x = 87,247,129,064.06
  5. Step 5: Solve for x
    x = 87,247,129,064.06/222,755.25
  6. Step 6: Final answer
    x = 391,672.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.