Finding the Third Proportional to 281,468.25 and 414,753.75
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Solution
The third proportional to 281,468.25 and 414,753.75 is: 611,154.80
Step by Step Solution
- Step 1: Write the proportion equation
281,468.25 : 414,753.75 = 414,753.75 : x - Step 2: Convert to fraction form
281,468.25/414,753.75 = 414,753.75/x - Step 3: Cross multiply
281,468.25x = 414,753.75 × 414,753.75 - Step 4: Simplify right side
281,468.25x = 172,020,673,139.06 - Step 5: Solve for x
x = 172,020,673,139.06/281,468.25 - Step 6: Final answer
x = 611,154.80
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.