Finding the Third Proportional to 83,528 and 180,194
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Solution
The third proportional to 83,528 and 180,194 is: 388,730.46
Step by Step Solution
- Step 1: Write the proportion equation
83,528 : 180,194 = 180,194 : x - Step 2: Convert to fraction form
83,528/180,194 = 180,194/x - Step 3: Cross multiply
83,528x = 180,194 × 180,194 - Step 4: Simplify right side
83,528x = 32,469,877,636 - Step 5: Solve for x
x = 32,469,877,636/83,528 - Step 6: Final answer
x = 388,730.46
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.