Finding the Third Proportional to 182,400 and 449,832
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Solution
The third proportional to 182,400 and 449,832 is: 1,109,368.58
Step by Step Solution
- Step 1: Write the proportion equation
182,400 : 449,832 = 449,832 : x - Step 2: Convert to fraction form
182,400/449,832 = 449,832/x - Step 3: Cross multiply
182,400x = 449,832 × 449,832 - Step 4: Simplify right side
182,400x = 202,348,828,224 - Step 5: Solve for x
x = 202,348,828,224/182,400 - Step 6: Final answer
x = 1,109,368.58
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Why These Related Problems?
These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.