Finding the Third Proportional to 194,710 and 284,406
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Solution
The third proportional to 194,710 and 284,406 is: 415,421.77
Step by Step Solution
- Step 1: Write the proportion equation
194,710 : 284,406 = 284,406 : x - Step 2: Convert to fraction form
194,710/284,406 = 284,406/x - Step 3: Cross multiply
194,710x = 284,406 × 284,406 - Step 4: Simplify right side
194,710x = 80,886,772,836 - Step 5: Solve for x
x = 80,886,772,836/194,710 - Step 6: Final answer
x = 415,421.77
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.