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Finding the Third Proportional to 123,353 and 264,198

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Solution

The third proportional to 123,353 and 264,198 is: 565,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,353 : 264,198 = 264,198 : x
  2. Step 2: Convert to fraction form
    123,353/264,198 = 264,198/x
  3. Step 3: Cross multiply
    123,353x = 264,198 × 264,198
  4. Step 4: Simplify right side
    123,353x = 69,800,583,204
  5. Step 5: Solve for x
    x = 69,800,583,204/123,353
  6. Step 6: Final answer
    x = 565,860.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.