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Finding the Third Proportional to 149,644 and 323,027

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Solution

The third proportional to 149,644 and 323,027 is: 697,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,644 : 323,027 = 323,027 : x
  2. Step 2: Convert to fraction form
    149,644/323,027 = 323,027/x
  3. Step 3: Cross multiply
    149,644x = 323,027 × 323,027
  4. Step 4: Simplify right side
    149,644x = 104,346,442,729
  5. Step 5: Solve for x
    x = 104,346,442,729/149,644
  6. Step 6: Final answer
    x = 697,297.87

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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.