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Finding the Third Proportional to 179,651 and 281,816

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Solution

The third proportional to 179,651 and 281,816 is: 442,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,651 : 281,816 = 281,816 : x
  2. Step 2: Convert to fraction form
    179,651/281,816 = 281,816/x
  3. Step 3: Cross multiply
    179,651x = 281,816 × 281,816
  4. Step 4: Simplify right side
    179,651x = 79,420,257,856
  5. Step 5: Solve for x
    x = 79,420,257,856/179,651
  6. Step 6: Final answer
    x = 442,080.80

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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.