Finding the Third Proportional to 82,905 and 177,629
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Solution
The third proportional to 82,905 and 177,629 is: 380,580.93
Step by Step Solution
- Step 1: Write the proportion equation
82,905 : 177,629 = 177,629 : x - Step 2: Convert to fraction form
82,905/177,629 = 177,629/x - Step 3: Cross multiply
82,905x = 177,629 × 177,629 - Step 4: Simplify right side
82,905x = 31,552,061,641 - Step 5: Solve for x
x = 31,552,061,641/82,905 - Step 6: Final answer
x = 380,580.93
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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.