Finding the Third Proportional to 214,283.25 and 456,314
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Solution
The third proportional to 214,283.25 and 456,314 is: 971,716.02
Step by Step Solution
- Step 1: Write the proportion equation
214,283.25 : 456,314 = 456,314 : x - Step 2: Convert to fraction form
214,283.25/456,314 = 456,314/x - Step 3: Cross multiply
214,283.25x = 456,314 × 456,314 - Step 4: Simplify right side
214,283.25x = 208,222,466,596 - Step 5: Solve for x
x = 208,222,466,596/214,283.25 - Step 6: Final answer
x = 971,716.02
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.