Finding the Third Proportional to 82,236 and 176,943
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Solution
The third proportional to 82,236 and 176,943 is: 380,719.21
Step by Step Solution
- Step 1: Write the proportion equation
82,236 : 176,943 = 176,943 : x - Step 2: Convert to fraction form
82,236/176,943 = 176,943/x - Step 3: Cross multiply
82,236x = 176,943 × 176,943 - Step 4: Simplify right side
82,236x = 31,308,825,249 - Step 5: Solve for x
x = 31,308,825,249/82,236 - Step 6: Final answer
x = 380,719.21
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.