Finding the Third Proportional to 83,292 and 183,170
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Solution
The third proportional to 83,292 and 183,170 is: 402,814.78
Step by Step Solution
- Step 1: Write the proportion equation
83,292 : 183,170 = 183,170 : x - Step 2: Convert to fraction form
83,292/183,170 = 183,170/x - Step 3: Cross multiply
83,292x = 183,170 × 183,170 - Step 4: Simplify right side
83,292x = 33,551,248,900 - Step 5: Solve for x
x = 33,551,248,900/83,292 - Step 6: Final answer
x = 402,814.78
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.