Finding the Third Proportional to 98,642 and 215,739
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Solution
The third proportional to 98,642 and 215,739 is: 471,840.76
Step by Step Solution
- Step 1: Write the proportion equation
98,642 : 215,739 = 215,739 : x - Step 2: Convert to fraction form
98,642/215,739 = 215,739/x - Step 3: Cross multiply
98,642x = 215,739 × 215,739 - Step 4: Simplify right side
98,642x = 46,543,316,121 - Step 5: Solve for x
x = 46,543,316,121/98,642 - Step 6: Final answer
x = 471,840.76
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.