Finding the Third Proportional to 98,496 and 202,800
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Solution
The third proportional to 98,496 and 202,800 is: 417,558.48
Step by Step Solution
- Step 1: Write the proportion equation
98,496 : 202,800 = 202,800 : x - Step 2: Convert to fraction form
98,496/202,800 = 202,800/x - Step 3: Cross multiply
98,496x = 202,800 × 202,800 - Step 4: Simplify right side
98,496x = 41,127,840,000 - Step 5: Solve for x
x = 41,127,840,000/98,496 - Step 6: Final answer
x = 417,558.48
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.