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Finding the Third Proportional to 167,054 and 347,932

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Solution

The third proportional to 167,054 and 347,932 is: 724,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,054 : 347,932 = 347,932 : x
  2. Step 2: Convert to fraction form
    167,054/347,932 = 347,932/x
  3. Step 3: Cross multiply
    167,054x = 347,932 × 347,932
  4. Step 4: Simplify right side
    167,054x = 121,056,676,624
  5. Step 5: Solve for x
    x = 121,056,676,624/167,054
  6. Step 6: Final answer
    x = 724,655.96

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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.