Finding the Third Proportional to 105,745 and 228,914
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Solution
The third proportional to 105,745 and 228,914 is: 495,547.02
Step by Step Solution
- Step 1: Write the proportion equation
105,745 : 228,914 = 228,914 : x - Step 2: Convert to fraction form
105,745/228,914 = 228,914/x - Step 3: Cross multiply
105,745x = 228,914 × 228,914 - Step 4: Simplify right side
105,745x = 52,401,619,396 - Step 5: Solve for x
x = 52,401,619,396/105,745 - Step 6: Final answer
x = 495,547.02
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.