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Finding the Third Proportional to 149,644 and 320,027

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Solution

The third proportional to 149,644 and 320,027 is: 684,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,644 : 320,027 = 320,027 : x
  2. Step 2: Convert to fraction form
    149,644/320,027 = 320,027/x
  3. Step 3: Cross multiply
    149,644x = 320,027 × 320,027
  4. Step 4: Simplify right side
    149,644x = 102,417,280,729
  5. Step 5: Solve for x
    x = 102,417,280,729/149,644
  6. Step 6: Final answer
    x = 684,406.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.