Finding the Third Proportional to 140,146 and 210,014
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Solution
The third proportional to 140,146 and 210,014 is: 314,713.80
Step by Step Solution
- Step 1: Write the proportion equation
140,146 : 210,014 = 210,014 : x - Step 2: Convert to fraction form
140,146/210,014 = 210,014/x - Step 3: Cross multiply
140,146x = 210,014 × 210,014 - Step 4: Simplify right side
140,146x = 44,105,880,196 - Step 5: Solve for x
x = 44,105,880,196/140,146 - Step 6: Final answer
x = 314,713.80
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.