Finding the Third Proportional to 152,234 and 231,942
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Solution
The third proportional to 152,234 and 231,942 is: 353,384.21
Step by Step Solution
- Step 1: Write the proportion equation
152,234 : 231,942 = 231,942 : x - Step 2: Convert to fraction form
152,234/231,942 = 231,942/x - Step 3: Cross multiply
152,234x = 231,942 × 231,942 - Step 4: Simplify right side
152,234x = 53,797,091,364 - Step 5: Solve for x
x = 53,797,091,364/152,234 - Step 6: Final answer
x = 353,384.21
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.