Finding the Third Proportional to 189,408 and 408,336
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Solution
The third proportional to 189,408 and 408,336 is: 880,312.81
Step by Step Solution
- Step 1: Write the proportion equation
189,408 : 408,336 = 408,336 : x - Step 2: Convert to fraction form
189,408/408,336 = 408,336/x - Step 3: Cross multiply
189,408x = 408,336 × 408,336 - Step 4: Simplify right side
189,408x = 166,738,288,896 - Step 5: Solve for x
x = 166,738,288,896/189,408 - Step 6: Final answer
x = 880,312.81
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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.