Finding the Third Proportional to 230,094 and 471,348
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Solution
The third proportional to 230,094 and 471,348 is: 965,557.28
Step by Step Solution
- Step 1: Write the proportion equation
230,094 : 471,348 = 471,348 : x - Step 2: Convert to fraction form
230,094/471,348 = 471,348/x - Step 3: Cross multiply
230,094x = 471,348 × 471,348 - Step 4: Simplify right side
230,094x = 222,168,937,104 - Step 5: Solve for x
x = 222,168,937,104/230,094 - Step 6: Final answer
x = 965,557.28
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.