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Finding the Third Proportional to 76,668 and 167,584

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Solution

The third proportional to 76,668 and 167,584 is: 366,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668 : 167,584 = 167,584 : x
  2. Step 2: Convert to fraction form
    76,668/167,584 = 167,584/x
  3. Step 3: Cross multiply
    76,668x = 167,584 × 167,584
  4. Step 4: Simplify right side
    76,668x = 28,084,397,056
  5. Step 5: Solve for x
    x = 28,084,397,056/76,668
  6. Step 6: Final answer
    x = 366,311.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.