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Finding the Third Proportional to 167,106 and 347,981

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Solution

The third proportional to 167,106 and 347,981 is: 724,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,106 : 347,981 = 347,981 : x
  2. Step 2: Convert to fraction form
    167,106/347,981 = 347,981/x
  3. Step 3: Cross multiply
    167,106x = 347,981 × 347,981
  4. Step 4: Simplify right side
    167,106x = 121,090,776,361
  5. Step 5: Solve for x
    x = 121,090,776,361/167,106
  6. Step 6: Final answer
    x = 724,634.52

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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.