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Finding the Third Proportional to 113,162 and 264,233

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Solution

The third proportional to 113,162 and 264,233 is: 616,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,162 : 264,233 = 264,233 : x
  2. Step 2: Convert to fraction form
    113,162/264,233 = 264,233/x
  3. Step 3: Cross multiply
    113,162x = 264,233 × 264,233
  4. Step 4: Simplify right side
    113,162x = 69,819,078,289
  5. Step 5: Solve for x
    x = 69,819,078,289/113,162
  6. Step 6: Final answer
    x = 616,983.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.