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Finding the Third Proportional to 149,467 and 323,357

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Solution

The third proportional to 149,467 and 323,357 is: 699,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,467 : 323,357 = 323,357 : x
  2. Step 2: Convert to fraction form
    149,467/323,357 = 323,357/x
  3. Step 3: Cross multiply
    149,467x = 323,357 × 323,357
  4. Step 4: Simplify right side
    149,467x = 104,559,749,449
  5. Step 5: Solve for x
    x = 104,559,749,449/149,467
  6. Step 6: Final answer
    x = 699,550.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.