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Finding the Third Proportional to 149,936 and 322,103

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Solution

The third proportional to 149,936 and 322,103 is: 691,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,936 : 322,103 = 322,103 : x
  2. Step 2: Convert to fraction form
    149,936/322,103 = 322,103/x
  3. Step 3: Cross multiply
    149,936x = 322,103 × 322,103
  4. Step 4: Simplify right side
    149,936x = 103,750,342,609
  5. Step 5: Solve for x
    x = 103,750,342,609/149,936
  6. Step 6: Final answer
    x = 691,964.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.