Finding the Third Proportional to 120,382 and 256,318
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Solution
The third proportional to 120,382 and 256,318 is: 545,753.66
Step by Step Solution
- Step 1: Write the proportion equation
120,382 : 256,318 = 256,318 : x - Step 2: Convert to fraction form
120,382/256,318 = 256,318/x - Step 3: Cross multiply
120,382x = 256,318 × 256,318 - Step 4: Simplify right side
120,382x = 65,698,917,124 - Step 5: Solve for x
x = 65,698,917,124/120,382 - Step 6: Final answer
x = 545,753.66
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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.