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Finding the Third Proportional to 167,823 and 364,866

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Solution

The third proportional to 167,823 and 364,866 is: 793,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,823 : 364,866 = 364,866 : x
  2. Step 2: Convert to fraction form
    167,823/364,866 = 364,866/x
  3. Step 3: Cross multiply
    167,823x = 364,866 × 364,866
  4. Step 4: Simplify right side
    167,823x = 133,127,197,956
  5. Step 5: Solve for x
    x = 133,127,197,956/167,823
  6. Step 6: Final answer
    x = 793,259.55

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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.