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Finding the Third Proportional to 192,328.50 and 445,206.75

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Solution

The third proportional to 192,328.50 and 445,206.75 is: 1,030,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,328.50 : 445,206.75 = 445,206.75 : x
  2. Step 2: Convert to fraction form
    192,328.50/445,206.75 = 445,206.75/x
  3. Step 3: Cross multiply
    192,328.50x = 445,206.75 × 445,206.75
  4. Step 4: Simplify right side
    192,328.50x = 198,209,050,245.56
  5. Step 5: Solve for x
    x = 198,209,050,245.56/192,328.50
  6. Step 6: Final answer
    x = 1,030,575.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.