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Finding the Third Proportional to 230,242.50 and 330,540.75

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Solution

The third proportional to 230,242.50 and 330,540.75 is: 474,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,242.50 : 330,540.75 = 330,540.75 : x
  2. Step 2: Convert to fraction form
    230,242.50/330,540.75 = 330,540.75/x
  3. Step 3: Cross multiply
    230,242.50x = 330,540.75 × 330,540.75
  4. Step 4: Simplify right side
    230,242.50x = 109,257,187,410.56
  5. Step 5: Solve for x
    x = 109,257,187,410.56/230,242.50
  6. Step 6: Final answer
    x = 474,530.93

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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.