Finding the Third Proportional to 82,932.75 and 194,955.75
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Solution
The third proportional to 82,932.75 and 194,955.75 is: 458,295.96
Step by Step Solution
- Step 1: Write the proportion equation
82,932.75 : 194,955.75 = 194,955.75 : x - Step 2: Convert to fraction form
82,932.75/194,955.75 = 194,955.75/x - Step 3: Cross multiply
82,932.75x = 194,955.75 × 194,955.75 - Step 4: Simplify right side
82,932.75x = 38,007,744,458.06 - Step 5: Solve for x
x = 38,007,744,458.06/82,932.75 - Step 6: Final answer
x = 458,295.96
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.