Finding the Third Proportional to 163,082.50 and 229,656
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Solution
The third proportional to 163,082.50 and 229,656 is: 323,406.12
Step by Step Solution
- Step 1: Write the proportion equation
163,082.50 : 229,656 = 229,656 : x - Step 2: Convert to fraction form
163,082.50/229,656 = 229,656/x - Step 3: Cross multiply
163,082.50x = 229,656 × 229,656 - Step 4: Simplify right side
163,082.50x = 52,741,878,336 - Step 5: Solve for x
x = 52,741,878,336/163,082.50 - Step 6: Final answer
x = 323,406.12
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.