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Finding the Third Proportional to 222,439.50 and 344,717.44

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Solution

The third proportional to 222,439.50 and 344,717.44 is: 534,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,439.50 : 344,717.44 = 344,717.44 : x
  2. Step 2: Convert to fraction form
    222,439.50/344,717.44 = 344,717.44/x
  3. Step 3: Cross multiply
    222,439.50x = 344,717.44 × 344,717.44
  4. Step 4: Simplify right side
    222,439.50x = 118,830,111,716.57
  5. Step 5: Solve for x
    x = 118,830,111,716.57/222,439.50
  6. Step 6: Final answer
    x = 534,213.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.