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Finding the Third Proportional to 167,146 and 348,116

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Solution

The third proportional to 167,146 and 348,116 is: 725,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,146 : 348,116 = 348,116 : x
  2. Step 2: Convert to fraction form
    167,146/348,116 = 348,116/x
  3. Step 3: Cross multiply
    167,146x = 348,116 × 348,116
  4. Step 4: Simplify right side
    167,146x = 121,184,749,456
  5. Step 5: Solve for x
    x = 121,184,749,456/167,146
  6. Step 6: Final answer
    x = 725,023.33

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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.