Finding the Third Proportional to 101,730 and 228,478.50
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Solution
The third proportional to 101,730 and 228,478.50 is: 513,146.81
Step by Step Solution
- Step 1: Write the proportion equation
101,730 : 228,478.50 = 228,478.50 : x - Step 2: Convert to fraction form
101,730/228,478.50 = 228,478.50/x - Step 3: Cross multiply
101,730x = 228,478.50 × 228,478.50 - Step 4: Simplify right side
101,730x = 52,202,424,962.25 - Step 5: Solve for x
x = 52,202,424,962.25/101,730 - Step 6: Final answer
x = 513,146.81
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Why These Related Problems?
These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.