Finding the Third Proportional to 105,397.50 and 228,291
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Solution
The third proportional to 105,397.50 and 228,291 is: 494,478.34
Step by Step Solution
- Step 1: Write the proportion equation
105,397.50 : 228,291 = 228,291 : x - Step 2: Convert to fraction form
105,397.50/228,291 = 228,291/x - Step 3: Cross multiply
105,397.50x = 228,291 × 228,291 - Step 4: Simplify right side
105,397.50x = 52,116,780,681 - Step 5: Solve for x
x = 52,116,780,681/105,397.50 - Step 6: Final answer
x = 494,478.34
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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.