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Finding the Third Proportional to 167,852 and 364,920

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Solution

The third proportional to 167,852 and 364,920 is: 793,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,852 : 364,920 = 364,920 : x
  2. Step 2: Convert to fraction form
    167,852/364,920 = 364,920/x
  3. Step 3: Cross multiply
    167,852x = 364,920 × 364,920
  4. Step 4: Simplify right side
    167,852x = 133,166,606,400
  5. Step 5: Solve for x
    x = 133,166,606,400/167,852
  6. Step 6: Final answer
    x = 793,357.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.