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Finding the Third Proportional to 159,787 and 230,176

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Solution

The third proportional to 159,787 and 230,176 is: 331,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,787 : 230,176 = 230,176 : x
  2. Step 2: Convert to fraction form
    159,787/230,176 = 230,176/x
  3. Step 3: Cross multiply
    159,787x = 230,176 × 230,176
  4. Step 4: Simplify right side
    159,787x = 52,980,990,976
  5. Step 5: Solve for x
    x = 52,980,990,976/159,787
  6. Step 6: Final answer
    x = 331,572.60

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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.