Finding the Third Proportional to 180,140 and 270,306
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Solution
The third proportional to 180,140 and 270,306 is: 405,603.05
Step by Step Solution
- Step 1: Write the proportion equation
180,140 : 270,306 = 270,306 : x - Step 2: Convert to fraction form
180,140/270,306 = 270,306/x - Step 3: Cross multiply
180,140x = 270,306 × 270,306 - Step 4: Simplify right side
180,140x = 73,065,333,636 - Step 5: Solve for x
x = 73,065,333,636/180,140 - Step 6: Final answer
x = 405,603.05
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.