Finding the Third Proportional to 212,116 and 468,392
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Solution
The third proportional to 212,116 and 468,392 is: 1,034,297.58
Step by Step Solution
- Step 1: Write the proportion equation
212,116 : 468,392 = 468,392 : x - Step 2: Convert to fraction form
212,116/468,392 = 468,392/x - Step 3: Cross multiply
212,116x = 468,392 × 468,392 - Step 4: Simplify right side
212,116x = 219,391,065,664 - Step 5: Solve for x
x = 219,391,065,664/212,116 - Step 6: Final answer
x = 1,034,297.58
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.