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Finding the Third Proportional to 109,775.25 and 239,631.75

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Solution

The third proportional to 109,775.25 and 239,631.75 is: 523,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,775.25 : 239,631.75 = 239,631.75 : x
  2. Step 2: Convert to fraction form
    109,775.25/239,631.75 = 239,631.75/x
  3. Step 3: Cross multiply
    109,775.25x = 239,631.75 × 239,631.75
  4. Step 4: Simplify right side
    109,775.25x = 57,423,375,608.06
  5. Step 5: Solve for x
    x = 57,423,375,608.06/109,775.25
  6. Step 6: Final answer
    x = 523,099.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.