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Finding the Third Proportional to 192,540.19 and 429,351.56

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Solution

The third proportional to 192,540.19 and 429,351.56 is: 957,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,540.19 : 429,351.56 = 429,351.56 : x
  2. Step 2: Convert to fraction form
    192,540.19/429,351.56 = 429,351.56/x
  3. Step 3: Cross multiply
    192,540.19x = 429,351.56 × 429,351.56
  4. Step 4: Simplify right side
    192,540.19x = 184,342,764,221.19
  5. Step 5: Solve for x
    x = 184,342,764,221.19/192,540.19
  6. Step 6: Final answer
    x = 957,424.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.