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Finding the Third Proportional to 159,789 and 230,179

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Solution

The third proportional to 159,789 and 230,179 is: 331,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,789 : 230,179 = 230,179 : x
  2. Step 2: Convert to fraction form
    159,789/230,179 = 230,179/x
  3. Step 3: Cross multiply
    159,789x = 230,179 × 230,179
  4. Step 4: Simplify right side
    159,789x = 52,982,372,041
  5. Step 5: Solve for x
    x = 52,982,372,041/159,789
  6. Step 6: Final answer
    x = 331,577.09

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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.