Finding the Third Proportional to 83,283.19 and 182,391.75
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Solution
The third proportional to 83,283.19 and 182,391.75 is: 399,441.37
Step by Step Solution
- Step 1: Write the proportion equation
83,283.19 : 182,391.75 = 182,391.75 : x - Step 2: Convert to fraction form
83,283.19/182,391.75 = 182,391.75/x - Step 3: Cross multiply
83,283.19x = 182,391.75 × 182,391.75 - Step 4: Simplify right side
83,283.19x = 33,266,750,468.06 - Step 5: Solve for x
x = 33,266,750,468.06/83,283.19 - Step 6: Final answer
x = 399,441.37
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.