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Finding the Third Proportional to 167,112 and 363,672

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Solution

The third proportional to 167,112 and 363,672 is: 791,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,112 : 363,672 = 363,672 : x
  2. Step 2: Convert to fraction form
    167,112/363,672 = 363,672/x
  3. Step 3: Cross multiply
    167,112x = 363,672 × 363,672
  4. Step 4: Simplify right side
    167,112x = 132,257,323,584
  5. Step 5: Solve for x
    x = 132,257,323,584/167,112
  6. Step 6: Final answer
    x = 791,429.24

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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.