Finding the Third Proportional to 83,965.50 and 182,700
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Solution
The third proportional to 83,965.50 and 182,700 is: 397,535.77
Step by Step Solution
- Step 1: Write the proportion equation
83,965.50 : 182,700 = 182,700 : x - Step 2: Convert to fraction form
83,965.50/182,700 = 182,700/x - Step 3: Cross multiply
83,965.50x = 182,700 × 182,700 - Step 4: Simplify right side
83,965.50x = 33,379,290,000 - Step 5: Solve for x
x = 33,379,290,000/83,965.50 - Step 6: Final answer
x = 397,535.77
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.