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Finding the Third Proportional to 232,247 and 339,408

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Solution

The third proportional to 232,247 and 339,408 is: 496,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,247 : 339,408 = 339,408 : x
  2. Step 2: Convert to fraction form
    232,247/339,408 = 339,408/x
  3. Step 3: Cross multiply
    232,247x = 339,408 × 339,408
  4. Step 4: Simplify right side
    232,247x = 115,197,790,464
  5. Step 5: Solve for x
    x = 115,197,790,464/232,247
  6. Step 6: Final answer
    x = 496,014.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.