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Finding the Third Proportional to 119,313 and 167,238

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Solution

The third proportional to 119,313 and 167,238 is: 234,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,313 : 167,238 = 167,238 : x
  2. Step 2: Convert to fraction form
    119,313/167,238 = 167,238/x
  3. Step 3: Cross multiply
    119,313x = 167,238 × 167,238
  4. Step 4: Simplify right side
    119,313x = 27,968,548,644
  5. Step 5: Solve for x
    x = 27,968,548,644/119,313
  6. Step 6: Final answer
    x = 234,413.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.