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Finding the Third Proportional to 192,540.75 and 429,352.75

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Solution

The third proportional to 192,540.75 and 429,352.75 is: 957,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,540.75 : 429,352.75 = 429,352.75 : x
  2. Step 2: Convert to fraction form
    192,540.75/429,352.75 = 429,352.75/x
  3. Step 3: Cross multiply
    192,540.75x = 429,352.75 × 429,352.75
  4. Step 4: Simplify right side
    192,540.75x = 184,343,783,932.56
  5. Step 5: Solve for x
    x = 184,343,783,932.56/192,540.75
  6. Step 6: Final answer
    x = 957,427.37

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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.