Finding the Third Proportional to 229,891.50 and 491,211
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Solution
The third proportional to 229,891.50 and 491,211 is: 1,049,574.46
Step by Step Solution
- Step 1: Write the proportion equation
229,891.50 : 491,211 = 491,211 : x - Step 2: Convert to fraction form
229,891.50/491,211 = 491,211/x - Step 3: Cross multiply
229,891.50x = 491,211 × 491,211 - Step 4: Simplify right side
229,891.50x = 241,288,246,521 - Step 5: Solve for x
x = 241,288,246,521/229,891.50 - Step 6: Final answer
x = 1,049,574.46
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.