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Finding the Third Proportional to 110,909 and 238,405

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Solution

The third proportional to 110,909 and 238,405 is: 512,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,909 : 238,405 = 238,405 : x
  2. Step 2: Convert to fraction form
    110,909/238,405 = 238,405/x
  3. Step 3: Cross multiply
    110,909x = 238,405 × 238,405
  4. Step 4: Simplify right side
    110,909x = 56,836,944,025
  5. Step 5: Solve for x
    x = 56,836,944,025/110,909
  6. Step 6: Final answer
    x = 512,464.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.