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Finding the Third Proportional to 76,790 and 167,499

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Solution

The third proportional to 76,790 and 167,499 is: 365,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,790 : 167,499 = 167,499 : x
  2. Step 2: Convert to fraction form
    76,790/167,499 = 167,499/x
  3. Step 3: Cross multiply
    76,790x = 167,499 × 167,499
  4. Step 4: Simplify right side
    76,790x = 28,055,915,001
  5. Step 5: Solve for x
    x = 28,055,915,001/76,790
  6. Step 6: Final answer
    x = 365,358.97

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