Finding the Third Proportional to 82,094.50 and 177,287
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Solution
The third proportional to 82,094.50 and 177,287 is: 382,859.76
Step by Step Solution
- Step 1: Write the proportion equation
82,094.50 : 177,287 = 177,287 : x - Step 2: Convert to fraction form
82,094.50/177,287 = 177,287/x - Step 3: Cross multiply
82,094.50x = 177,287 × 177,287 - Step 4: Simplify right side
82,094.50x = 31,430,680,369 - Step 5: Solve for x
x = 31,430,680,369/82,094.50 - Step 6: Final answer
x = 382,859.76
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.