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Finding the Third Proportional to 153,906.75 and 230,245.88

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Solution

The third proportional to 153,906.75 and 230,245.88 is: 344,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,906.75 : 230,245.88 = 230,245.88 : x
  2. Step 2: Convert to fraction form
    153,906.75/230,245.88 = 230,245.88/x
  3. Step 3: Cross multiply
    153,906.75x = 230,245.88 × 230,245.88
  4. Step 4: Simplify right side
    153,906.75x = 53,013,162,954.52
  5. Step 5: Solve for x
    x = 53,013,162,954.52/153,906.75
  6. Step 6: Final answer
    x = 344,449.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.