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Finding the Third Proportional to 177,686 and 383,823

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Solution

The third proportional to 177,686 and 383,823 is: 829,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,686 : 383,823 = 383,823 : x
  2. Step 2: Convert to fraction form
    177,686/383,823 = 383,823/x
  3. Step 3: Cross multiply
    177,686x = 383,823 × 383,823
  4. Step 4: Simplify right side
    177,686x = 147,320,095,329
  5. Step 5: Solve for x
    x = 147,320,095,329/177,686
  6. Step 6: Final answer
    x = 829,103.56

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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.