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Finding the Third Proportional to 76,679 and 165,670

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Solution

The third proportional to 76,679 and 165,670 is: 357,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,679 : 165,670 = 165,670 : x
  2. Step 2: Convert to fraction form
    76,679/165,670 = 165,670/x
  3. Step 3: Cross multiply
    76,679x = 165,670 × 165,670
  4. Step 4: Simplify right side
    76,679x = 27,446,548,900
  5. Step 5: Solve for x
    x = 27,446,548,900/76,679
  6. Step 6: Final answer
    x = 357,940.88

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Why These Related Problems?

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