Finding the Third Proportional to 83,024 and 180,160
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Solution
The third proportional to 83,024 and 180,160 is: 390,942.69
Step by Step Solution
- Step 1: Write the proportion equation
83,024 : 180,160 = 180,160 : x - Step 2: Convert to fraction form
83,024/180,160 = 180,160/x - Step 3: Cross multiply
83,024x = 180,160 × 180,160 - Step 4: Simplify right side
83,024x = 32,457,625,600 - Step 5: Solve for x
x = 32,457,625,600/83,024 - Step 6: Final answer
x = 390,942.69
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.