Finding the Third Proportional to 224,714 and 496,156
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Solution
The third proportional to 224,714 and 496,156 is: 1,095,484.82
Step by Step Solution
- Step 1: Write the proportion equation
224,714 : 496,156 = 496,156 : x - Step 2: Convert to fraction form
224,714/496,156 = 496,156/x - Step 3: Cross multiply
224,714x = 496,156 × 496,156 - Step 4: Simplify right side
224,714x = 246,170,776,336 - Step 5: Solve for x
x = 246,170,776,336/224,714 - Step 6: Final answer
x = 1,095,484.82
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.