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Finding the Third Proportional to 140,328 and 216,027

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Solution

The third proportional to 140,328 and 216,027 is: 332,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,328 : 216,027 = 216,027 : x
  2. Step 2: Convert to fraction form
    140,328/216,027 = 216,027/x
  3. Step 3: Cross multiply
    140,328x = 216,027 × 216,027
  4. Step 4: Simplify right side
    140,328x = 46,667,664,729
  5. Step 5: Solve for x
    x = 46,667,664,729/140,328
  6. Step 6: Final answer
    x = 332,561.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.