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Finding the Third Proportional to 79,344 and 173,250

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Solution

The third proportional to 79,344 and 173,250 is: 378,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,344 : 173,250 = 173,250 : x
  2. Step 2: Convert to fraction form
    79,344/173,250 = 173,250/x
  3. Step 3: Cross multiply
    79,344x = 173,250 × 173,250
  4. Step 4: Simplify right side
    79,344x = 30,015,562,500
  5. Step 5: Solve for x
    x = 30,015,562,500/79,344
  6. Step 6: Final answer
    x = 378,296.56

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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.