Finding the Third Proportional to 113,972 and 243,496
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Solution
The third proportional to 113,972 and 243,496 is: 520,218.14
Step by Step Solution
- Step 1: Write the proportion equation
113,972 : 243,496 = 243,496 : x - Step 2: Convert to fraction form
113,972/243,496 = 243,496/x - Step 3: Cross multiply
113,972x = 243,496 × 243,496 - Step 4: Simplify right side
113,972x = 59,290,302,016 - Step 5: Solve for x
x = 59,290,302,016/113,972 - Step 6: Final answer
x = 520,218.14
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.