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Finding the Third Proportional to 179,906 and 264,027

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Solution

The third proportional to 179,906 and 264,027 is: 387,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,906 : 264,027 = 264,027 : x
  2. Step 2: Convert to fraction form
    179,906/264,027 = 264,027/x
  3. Step 3: Cross multiply
    179,906x = 264,027 × 264,027
  4. Step 4: Simplify right side
    179,906x = 69,710,256,729
  5. Step 5: Solve for x
    x = 69,710,256,729/179,906
  6. Step 6: Final answer
    x = 387,481.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.