Finding the Third Proportional to 214,733 and 457,186
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Solution
The third proportional to 214,733 and 457,186 is: 973,390.39
Step by Step Solution
- Step 1: Write the proportion equation
214,733 : 457,186 = 457,186 : x - Step 2: Convert to fraction form
214,733/457,186 = 457,186/x - Step 3: Cross multiply
214,733x = 457,186 × 457,186 - Step 4: Simplify right side
214,733x = 209,019,038,596 - Step 5: Solve for x
x = 209,019,038,596/214,733 - Step 6: Final answer
x = 973,390.39
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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.