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Finding the Third Proportional to 161,595 and 216,027

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Solution

The third proportional to 161,595 and 216,027 is: 288,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,595 : 216,027 = 216,027 : x
  2. Step 2: Convert to fraction form
    161,595/216,027 = 216,027/x
  3. Step 3: Cross multiply
    161,595x = 216,027 × 216,027
  4. Step 4: Simplify right side
    161,595x = 46,667,664,729
  5. Step 5: Solve for x
    x = 46,667,664,729/161,595
  6. Step 6: Final answer
    x = 288,793.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.