Finding the Third Proportional to 182,548 and 280,470
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Solution
The third proportional to 182,548 and 280,470 is: 430,919.11
Step by Step Solution
- Step 1: Write the proportion equation
182,548 : 280,470 = 280,470 : x - Step 2: Convert to fraction form
182,548/280,470 = 280,470/x - Step 3: Cross multiply
182,548x = 280,470 × 280,470 - Step 4: Simplify right side
182,548x = 78,663,420,900 - Step 5: Solve for x
x = 78,663,420,900/182,548 - Step 6: Final answer
x = 430,919.11
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.