Finding the Third Proportional to 115,428 and 180,431
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Solution
The third proportional to 115,428 and 180,431 is: 282,040.28
Step by Step Solution
- Step 1: Write the proportion equation
115,428 : 180,431 = 180,431 : x - Step 2: Convert to fraction form
115,428/180,431 = 180,431/x - Step 3: Cross multiply
115,428x = 180,431 × 180,431 - Step 4: Simplify right side
115,428x = 32,555,345,761 - Step 5: Solve for x
x = 32,555,345,761/115,428 - Step 6: Final answer
x = 282,040.28
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.