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Finding the Third Proportional to 111,025 and 226,162

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Solution

The third proportional to 111,025 and 226,162 is: 460,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,025 : 226,162 = 226,162 : x
  2. Step 2: Convert to fraction form
    111,025/226,162 = 226,162/x
  3. Step 3: Cross multiply
    111,025x = 226,162 × 226,162
  4. Step 4: Simplify right side
    111,025x = 51,149,250,244
  5. Step 5: Solve for x
    x = 51,149,250,244/111,025
  6. Step 6: Final answer
    x = 460,700.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.