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Finding the Third Proportional to 76,882 and 167,228

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Solution

The third proportional to 76,882 and 167,228 is: 363,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882 : 167,228 = 167,228 : x
  2. Step 2: Convert to fraction form
    76,882/167,228 = 167,228/x
  3. Step 3: Cross multiply
    76,882x = 167,228 × 167,228
  4. Step 4: Simplify right side
    76,882x = 27,965,203,984
  5. Step 5: Solve for x
    x = 27,965,203,984/76,882
  6. Step 6: Final answer
    x = 363,741.89

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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.