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Finding the Third Proportional to 159,846 and 230,253

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Solution

The third proportional to 159,846 and 230,253 is: 331,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,846 : 230,253 = 230,253 : x
  2. Step 2: Convert to fraction form
    159,846/230,253 = 230,253/x
  3. Step 3: Cross multiply
    159,846x = 230,253 × 230,253
  4. Step 4: Simplify right side
    159,846x = 53,016,444,009
  5. Step 5: Solve for x
    x = 53,016,444,009/159,846
  6. Step 6: Final answer
    x = 331,672.01

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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.