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Finding the Third Proportional to 167,652 and 364,896

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Solution

The third proportional to 167,652 and 364,896 is: 794,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,652 : 364,896 = 364,896 : x
  2. Step 2: Convert to fraction form
    167,652/364,896 = 364,896/x
  3. Step 3: Cross multiply
    167,652x = 364,896 × 364,896
  4. Step 4: Simplify right side
    167,652x = 133,149,090,816
  5. Step 5: Solve for x
    x = 133,149,090,816/167,652
  6. Step 6: Final answer
    x = 794,199.24

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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.