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Finding the Third Proportional to 167,864 and 343,485

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Solution

The third proportional to 167,864 and 343,485 is: 702,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,864 : 343,485 = 343,485 : x
  2. Step 2: Convert to fraction form
    167,864/343,485 = 343,485/x
  3. Step 3: Cross multiply
    167,864x = 343,485 × 343,485
  4. Step 4: Simplify right side
    167,864x = 117,981,945,225
  5. Step 5: Solve for x
    x = 117,981,945,225/167,864
  6. Step 6: Final answer
    x = 702,842.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.