Finding the Third Proportional to 230,196 and 499,596
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Solution
The third proportional to 230,196 and 499,596 is: 1,084,276.72
Step by Step Solution
- Step 1: Write the proportion equation
230,196 : 499,596 = 499,596 : x - Step 2: Convert to fraction form
230,196/499,596 = 499,596/x - Step 3: Cross multiply
230,196x = 499,596 × 499,596 - Step 4: Simplify right side
230,196x = 249,596,163,216 - Step 5: Solve for x
x = 249,596,163,216/230,196 - Step 6: Final answer
x = 1,084,276.72
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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.