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Finding the Third Proportional to 168,570 and 383,907

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Solution

The third proportional to 168,570 and 383,907 is: 874,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,570 : 383,907 = 383,907 : x
  2. Step 2: Convert to fraction form
    168,570/383,907 = 383,907/x
  3. Step 3: Cross multiply
    168,570x = 383,907 × 383,907
  4. Step 4: Simplify right side
    168,570x = 147,384,584,649
  5. Step 5: Solve for x
    x = 147,384,584,649/168,570
  6. Step 6: Final answer
    x = 874,322.74

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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.