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Finding the Third Proportional to 76,238 and 167,195

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Solution

The third proportional to 76,238 and 167,195 is: 366,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238 : 167,195 = 167,195 : x
  2. Step 2: Convert to fraction form
    76,238/167,195 = 167,195/x
  3. Step 3: Cross multiply
    76,238x = 167,195 × 167,195
  4. Step 4: Simplify right side
    76,238x = 27,954,168,025
  5. Step 5: Solve for x
    x = 27,954,168,025/76,238
  6. Step 6: Final answer
    x = 366,669.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.