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Finding the Third Proportional to 177,198.26 and 382,394.67

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Solution

The third proportional to 177,198.26 and 382,394.67 is: 825,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,198.26 : 382,394.67 = 382,394.67 : x
  2. Step 2: Convert to fraction form
    177,198.26/382,394.67 = 382,394.67/x
  3. Step 3: Cross multiply
    177,198.26x = 382,394.67 × 382,394.67
  4. Step 4: Simplify right side
    177,198.26x = 146,225,685,078.39
  5. Step 5: Solve for x
    x = 146,225,685,078.39/177,198.26
  6. Step 6: Final answer
    x = 825,209.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.