Finding the Third Proportional to 82,088 and 176,731
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Solution
The third proportional to 82,088 and 176,731 is: 380,492.23
Step by Step Solution
- Step 1: Write the proportion equation
82,088 : 176,731 = 176,731 : x - Step 2: Convert to fraction form
82,088/176,731 = 176,731/x - Step 3: Cross multiply
82,088x = 176,731 × 176,731 - Step 4: Simplify right side
82,088x = 31,233,846,361 - Step 5: Solve for x
x = 31,233,846,361/82,088 - Step 6: Final answer
x = 380,492.23
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.