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Finding the Third Proportional to 241,353 and 367,227

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Solution

The third proportional to 241,353 and 367,227 is: 558,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,353 : 367,227 = 367,227 : x
  2. Step 2: Convert to fraction form
    241,353/367,227 = 367,227/x
  3. Step 3: Cross multiply
    241,353x = 367,227 × 367,227
  4. Step 4: Simplify right side
    241,353x = 134,855,669,529
  5. Step 5: Solve for x
    x = 134,855,669,529/241,353
  6. Step 6: Final answer
    x = 558,748.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.