Finding the Third Proportional to 229,106 and 492,076
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Solution
The third proportional to 229,106 and 492,076 is: 1,056,885.41
Step by Step Solution
- Step 1: Write the proportion equation
229,106 : 492,076 = 492,076 : x - Step 2: Convert to fraction form
229,106/492,076 = 492,076/x - Step 3: Cross multiply
229,106x = 492,076 × 492,076 - Step 4: Simplify right side
229,106x = 242,138,789,776 - Step 5: Solve for x
x = 242,138,789,776/229,106 - Step 6: Final answer
x = 1,056,885.41
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.