Finding the Third Proportional to 182,820 and 407,652
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Solution
The third proportional to 182,820 and 407,652 is: 908,982.35
Step by Step Solution
- Step 1: Write the proportion equation
182,820 : 407,652 = 407,652 : x - Step 2: Convert to fraction form
182,820/407,652 = 407,652/x - Step 3: Cross multiply
182,820x = 407,652 × 407,652 - Step 4: Simplify right side
182,820x = 166,180,153,104 - Step 5: Solve for x
x = 166,180,153,104/182,820 - Step 6: Final answer
x = 908,982.35
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.