Finding the Third Proportional to 82,217 and 170,914
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Solution
The third proportional to 82,217 and 170,914 is: 355,298.73
Step by Step Solution
- Step 1: Write the proportion equation
82,217 : 170,914 = 170,914 : x - Step 2: Convert to fraction form
82,217/170,914 = 170,914/x - Step 3: Cross multiply
82,217x = 170,914 × 170,914 - Step 4: Simplify right side
82,217x = 29,211,595,396 - Step 5: Solve for x
x = 29,211,595,396/82,217 - Step 6: Final answer
x = 355,298.73
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.