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Finding the Third Proportional to 159,800 and 230,196

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Solution

The third proportional to 159,800 and 230,196 is: 331,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,800 : 230,196 = 230,196 : x
  2. Step 2: Convert to fraction form
    159,800/230,196 = 230,196/x
  3. Step 3: Cross multiply
    159,800x = 230,196 × 230,196
  4. Step 4: Simplify right side
    159,800x = 52,990,198,416
  5. Step 5: Solve for x
    x = 52,990,198,416/159,800
  6. Step 6: Final answer
    x = 331,603.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.