Finding the Third Proportional to 82,336.50 and 175,311
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Solution
The third proportional to 82,336.50 and 175,311 is: 373,272.45
Step by Step Solution
- Step 1: Write the proportion equation
82,336.50 : 175,311 = 175,311 : x - Step 2: Convert to fraction form
82,336.50/175,311 = 175,311/x - Step 3: Cross multiply
82,336.50x = 175,311 × 175,311 - Step 4: Simplify right side
82,336.50x = 30,733,946,721 - Step 5: Solve for x
x = 30,733,946,721/82,336.50 - Step 6: Final answer
x = 373,272.45
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.