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Finding the Third Proportional to 159,785 and 230,173

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Solution

The third proportional to 159,785 and 230,173 is: 331,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,785 : 230,173 = 230,173 : x
  2. Step 2: Convert to fraction form
    159,785/230,173 = 230,173/x
  3. Step 3: Cross multiply
    159,785x = 230,173 × 230,173
  4. Step 4: Simplify right side
    159,785x = 52,979,609,929
  5. Step 5: Solve for x
    x = 52,979,609,929/159,785
  6. Step 6: Final answer
    x = 331,568.11

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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.