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Finding the Third Proportional to 155,004 and 324,027

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Solution

The third proportional to 155,004 and 324,027 is: 677,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,004 : 324,027 = 324,027 : x
  2. Step 2: Convert to fraction form
    155,004/324,027 = 324,027/x
  3. Step 3: Cross multiply
    155,004x = 324,027 × 324,027
  4. Step 4: Simplify right side
    155,004x = 104,993,496,729
  5. Step 5: Solve for x
    x = 104,993,496,729/155,004
  6. Step 6: Final answer
    x = 677,359.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.