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Finding the Third Proportional to 149,744 and 323,520

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Solution

The third proportional to 149,744 and 323,520 is: 698,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,744 : 323,520 = 323,520 : x
  2. Step 2: Convert to fraction form
    149,744/323,520 = 323,520/x
  3. Step 3: Cross multiply
    149,744x = 323,520 × 323,520
  4. Step 4: Simplify right side
    149,744x = 104,665,190,400
  5. Step 5: Solve for x
    x = 104,665,190,400/149,744
  6. Step 6: Final answer
    x = 698,960.83

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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.