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Finding the Third Proportional to 159,088.50 and 230,067

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Solution

The third proportional to 159,088.50 and 230,067 is: 332,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,088.50 : 230,067 = 230,067 : x
  2. Step 2: Convert to fraction form
    159,088.50/230,067 = 230,067/x
  3. Step 3: Cross multiply
    159,088.50x = 230,067 × 230,067
  4. Step 4: Simplify right side
    159,088.50x = 52,930,824,489
  5. Step 5: Solve for x
    x = 52,930,824,489/159,088.50
  6. Step 6: Final answer
    x = 332,713.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.