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Finding the Third Proportional to 167,186 and 348,188

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Solution

The third proportional to 167,186 and 348,188 is: 725,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,186 : 348,188 = 348,188 : x
  2. Step 2: Convert to fraction form
    167,186/348,188 = 348,188/x
  3. Step 3: Cross multiply
    167,186x = 348,188 × 348,188
  4. Step 4: Simplify right side
    167,186x = 121,234,883,344
  5. Step 5: Solve for x
    x = 121,234,883,344/167,186
  6. Step 6: Final answer
    x = 725,149.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.