Finding the Third Proportional to 190,788 and 414,382
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Solution
The third proportional to 190,788 and 414,382 is: 900,016.99
Step by Step Solution
- Step 1: Write the proportion equation
190,788 : 414,382 = 414,382 : x - Step 2: Convert to fraction form
190,788/414,382 = 414,382/x - Step 3: Cross multiply
190,788x = 414,382 × 414,382 - Step 4: Simplify right side
190,788x = 171,712,441,924 - Step 5: Solve for x
x = 171,712,441,924/190,788 - Step 6: Final answer
x = 900,016.99
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.