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Finding the Third Proportional to 179,621 and 281,770

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Solution

The third proportional to 179,621 and 281,770 is: 442,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,621 : 281,770 = 281,770 : x
  2. Step 2: Convert to fraction form
    179,621/281,770 = 281,770/x
  3. Step 3: Cross multiply
    179,621x = 281,770 × 281,770
  4. Step 4: Simplify right side
    179,621x = 79,394,332,900
  5. Step 5: Solve for x
    x = 79,394,332,900/179,621
  6. Step 6: Final answer
    x = 442,010.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.