Finding the Third Proportional to 218,280 and 468,454
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Solution
The third proportional to 218,280 and 468,454 is: 1,005,356.19
Step by Step Solution
- Step 1: Write the proportion equation
218,280 : 468,454 = 468,454 : x - Step 2: Convert to fraction form
218,280/468,454 = 468,454/x - Step 3: Cross multiply
218,280x = 468,454 × 468,454 - Step 4: Simplify right side
218,280x = 219,449,150,116 - Step 5: Solve for x
x = 219,449,150,116/218,280 - Step 6: Final answer
x = 1,005,356.19
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.