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Finding the Third Proportional to 222,517.31 and 344,770.69

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Solution

The third proportional to 222,517.31 and 344,770.69 is: 534,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,517.31 : 344,770.69 = 344,770.69 : x
  2. Step 2: Convert to fraction form
    222,517.31/344,770.69 = 344,770.69/x
  3. Step 3: Cross multiply
    222,517.31x = 344,770.69 × 344,770.69
  4. Step 4: Simplify right side
    222,517.31x = 118,866,826,959.22
  5. Step 5: Solve for x
    x = 118,866,826,959.22/222,517.31
  6. Step 6: Final answer
    x = 534,191.37

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Why These Related Problems?

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