Finding the Third Proportional to 205,015.50 and 443,727
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Solution
The third proportional to 205,015.50 and 443,727 is: 960,384.22
Step by Step Solution
- Step 1: Write the proportion equation
205,015.50 : 443,727 = 443,727 : x - Step 2: Convert to fraction form
205,015.50/443,727 = 443,727/x - Step 3: Cross multiply
205,015.50x = 443,727 × 443,727 - Step 4: Simplify right side
205,015.50x = 196,893,650,529 - Step 5: Solve for x
x = 196,893,650,529/205,015.50 - Step 6: Final answer
x = 960,384.22
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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.