Finding the Third Proportional to 82,904.91 and 177,629.06
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Solution
The third proportional to 82,904.91 and 177,629.06 is: 380,581.62
Step by Step Solution
- Step 1: Write the proportion equation
82,904.91 : 177,629.06 = 177,629.06 : x - Step 2: Convert to fraction form
82,904.91/177,629.06 = 177,629.06/x - Step 3: Cross multiply
82,904.91x = 177,629.06 × 177,629.06 - Step 4: Simplify right side
82,904.91x = 31,552,083,844.63 - Step 5: Solve for x
x = 31,552,083,844.63/82,904.91 - Step 6: Final answer
x = 380,581.62
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.