Finding the Third Proportional to 130,518 and 200,970
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Solution
The third proportional to 130,518 and 200,970 is: 309,451.12
Step by Step Solution
- Step 1: Write the proportion equation
130,518 : 200,970 = 200,970 : x - Step 2: Convert to fraction form
130,518/200,970 = 200,970/x - Step 3: Cross multiply
130,518x = 200,970 × 200,970 - Step 4: Simplify right side
130,518x = 40,388,940,900 - Step 5: Solve for x
x = 40,388,940,900/130,518 - Step 6: Final answer
x = 309,451.12
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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.