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Finding the Third Proportional to 168,576 and 383,922.75

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Solution

The third proportional to 168,576 and 383,922.75 is: 874,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,576 : 383,922.75 = 383,922.75 : x
  2. Step 2: Convert to fraction form
    168,576/383,922.75 = 383,922.75/x
  3. Step 3: Cross multiply
    168,576x = 383,922.75 × 383,922.75
  4. Step 4: Simplify right side
    168,576x = 147,396,677,967.56
  5. Step 5: Solve for x
    x = 147,396,677,967.56/168,576
  6. Step 6: Final answer
    x = 874,363.36

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.