Finding the Third Proportional to 103,742 and 227,574
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Solution
The third proportional to 103,742 and 227,574 is: 499,218.50
Step by Step Solution
- Step 1: Write the proportion equation
103,742 : 227,574 = 227,574 : x - Step 2: Convert to fraction form
103,742/227,574 = 227,574/x - Step 3: Cross multiply
103,742x = 227,574 × 227,574 - Step 4: Simplify right side
103,742x = 51,789,925,476 - Step 5: Solve for x
x = 51,789,925,476/103,742 - Step 6: Final answer
x = 499,218.50
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.