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Finding the Third Proportional to 76,884 and 167,232

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Solution

The third proportional to 76,884 and 167,232 is: 363,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,884 : 167,232 = 167,232 : x
  2. Step 2: Convert to fraction form
    76,884/167,232 = 167,232/x
  3. Step 3: Cross multiply
    76,884x = 167,232 × 167,232
  4. Step 4: Simplify right side
    76,884x = 27,966,541,824
  5. Step 5: Solve for x
    x = 27,966,541,824/76,884
  6. Step 6: Final answer
    x = 363,749.83

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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.