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Finding the Third Proportional to 159,230.25 and 206,646.75

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Solution

The third proportional to 159,230.25 and 206,646.75 is: 268,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,230.25 : 206,646.75 = 206,646.75 : x
  2. Step 2: Convert to fraction form
    159,230.25/206,646.75 = 206,646.75/x
  3. Step 3: Cross multiply
    159,230.25x = 206,646.75 × 206,646.75
  4. Step 4: Simplify right side
    159,230.25x = 42,702,879,285.56
  5. Step 5: Solve for x
    x = 42,702,879,285.56/159,230.25
  6. Step 6: Final answer
    x = 268,183.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.