Finding the Third Proportional to 82,004.91 and 176,466.09
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Solution
The third proportional to 82,004.91 and 176,466.09 is: 379,736.82
Step by Step Solution
- Step 1: Write the proportion equation
82,004.91 : 176,466.09 = 176,466.09 : x - Step 2: Convert to fraction form
82,004.91/176,466.09 = 176,466.09/x - Step 3: Cross multiply
82,004.91x = 176,466.09 × 176,466.09 - Step 4: Simplify right side
82,004.91x = 31,140,282,243.38 - Step 5: Solve for x
x = 31,140,282,243.38/82,004.91 - Step 6: Final answer
x = 379,736.82
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.