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Finding the Third Proportional to 220,839 and 344,380.50

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Solution

The third proportional to 220,839 and 344,380.50 is: 537,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,839 : 344,380.50 = 344,380.50 : x
  2. Step 2: Convert to fraction form
    220,839/344,380.50 = 344,380.50/x
  3. Step 3: Cross multiply
    220,839x = 344,380.50 × 344,380.50
  4. Step 4: Simplify right side
    220,839x = 118,597,928,780.25
  5. Step 5: Solve for x
    x = 118,597,928,780.25/220,839
  6. Step 6: Final answer
    x = 537,033.44

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.