Finding the Third Proportional to 205,122.25 and 443,049.50
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Solution
The third proportional to 205,122.25 and 443,049.50 is: 956,955.47
Step by Step Solution
- Step 1: Write the proportion equation
205,122.25 : 443,049.50 = 443,049.50 : x - Step 2: Convert to fraction form
205,122.25/443,049.50 = 443,049.50/x - Step 3: Cross multiply
205,122.25x = 443,049.50 × 443,049.50 - Step 4: Simplify right side
205,122.25x = 196,292,859,450.25 - Step 5: Solve for x
x = 196,292,859,450.25/205,122.25 - Step 6: Final answer
x = 956,955.47
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.