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Finding the Third Proportional to 122,517.56 and 268,616.25

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Solution

The third proportional to 122,517.56 and 268,616.25 is: 588,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,517.56 : 268,616.25 = 268,616.25 : x
  2. Step 2: Convert to fraction form
    122,517.56/268,616.25 = 268,616.25/x
  3. Step 3: Cross multiply
    122,517.56x = 268,616.25 × 268,616.25
  4. Step 4: Simplify right side
    122,517.56x = 72,154,689,764.06
  5. Step 5: Solve for x
    x = 72,154,689,764.06/122,517.56
  6. Step 6: Final answer
    x = 588,933.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.