Finding the Third Proportional to 205,186.50 and 306,959.63
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Solution
The third proportional to 205,186.50 and 306,959.63 is: 459,212.53
Step by Step Solution
- Step 1: Write the proportion equation
205,186.50 : 306,959.63 = 306,959.63 : x - Step 2: Convert to fraction form
205,186.50/306,959.63 = 306,959.63/x - Step 3: Cross multiply
205,186.50x = 306,959.63 × 306,959.63 - Step 4: Simplify right side
205,186.50x = 94,224,211,380.14 - Step 5: Solve for x
x = 94,224,211,380.14/205,186.50 - Step 6: Final answer
x = 459,212.53
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.