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Finding the Third Proportional to 167,096 and 364,680

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Solution

The third proportional to 167,096 and 364,680 is: 795,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,096 : 364,680 = 364,680 : x
  2. Step 2: Convert to fraction form
    167,096/364,680 = 364,680/x
  3. Step 3: Cross multiply
    167,096x = 364,680 × 364,680
  4. Step 4: Simplify right side
    167,096x = 132,991,502,400
  5. Step 5: Solve for x
    x = 132,991,502,400/167,096
  6. Step 6: Final answer
    x = 795,898.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.