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Finding the Third Proportional to 171,804 and 369,012

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Solution

The third proportional to 171,804 and 369,012 is: 792,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,804 : 369,012 = 369,012 : x
  2. Step 2: Convert to fraction form
    171,804/369,012 = 369,012/x
  3. Step 3: Cross multiply
    171,804x = 369,012 × 369,012
  4. Step 4: Simplify right side
    171,804x = 136,169,856,144
  5. Step 5: Solve for x
    x = 136,169,856,144/171,804
  6. Step 6: Final answer
    x = 792,588.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.