Finding the Third Proportional to 204,228 and 310,662
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Solution
The third proportional to 204,228 and 310,662 is: 472,564.38
Step by Step Solution
- Step 1: Write the proportion equation
204,228 : 310,662 = 310,662 : x - Step 2: Convert to fraction form
204,228/310,662 = 310,662/x - Step 3: Cross multiply
204,228x = 310,662 × 310,662 - Step 4: Simplify right side
204,228x = 96,510,878,244 - Step 5: Solve for x
x = 96,510,878,244/204,228 - Step 6: Final answer
x = 472,564.38
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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.