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Finding the Third Proportional to 167,162 and 348,175

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Solution

The third proportional to 167,162 and 348,175 is: 725,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,162 : 348,175 = 348,175 : x
  2. Step 2: Convert to fraction form
    167,162/348,175 = 348,175/x
  3. Step 3: Cross multiply
    167,162x = 348,175 × 348,175
  4. Step 4: Simplify right side
    167,162x = 121,225,830,625
  5. Step 5: Solve for x
    x = 121,225,830,625/167,162
  6. Step 6: Final answer
    x = 725,199.69

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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.