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Finding the Third Proportional to 109,200 and 239,815

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Solution

The third proportional to 109,200 and 239,815 is: 526,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,200 : 239,815 = 239,815 : x
  2. Step 2: Convert to fraction form
    109,200/239,815 = 239,815/x
  3. Step 3: Cross multiply
    109,200x = 239,815 × 239,815
  4. Step 4: Simplify right side
    109,200x = 57,511,234,225
  5. Step 5: Solve for x
    x = 57,511,234,225/109,200
  6. Step 6: Final answer
    x = 526,659.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.