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Finding the Third Proportional to 76,834.50 and 167,679

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Solution

The third proportional to 76,834.50 and 167,679 is: 365,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,834.50 : 167,679 = 167,679 : x
  2. Step 2: Convert to fraction form
    76,834.50/167,679 = 167,679/x
  3. Step 3: Cross multiply
    76,834.50x = 167,679 × 167,679
  4. Step 4: Simplify right side
    76,834.50x = 28,116,247,041
  5. Step 5: Solve for x
    x = 28,116,247,041/76,834.50
  6. Step 6: Final answer
    x = 365,932.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.