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Finding the Third Proportional to 149,406 and 323,704

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Solution

The third proportional to 149,406 and 323,704 is: 701,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,406 : 323,704 = 323,704 : x
  2. Step 2: Convert to fraction form
    149,406/323,704 = 323,704/x
  3. Step 3: Cross multiply
    149,406x = 323,704 × 323,704
  4. Step 4: Simplify right side
    149,406x = 104,784,279,616
  5. Step 5: Solve for x
    x = 104,784,279,616/149,406
  6. Step 6: Final answer
    x = 701,339.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.