Finding the Third Proportional to 229,538.50 and 492,281
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Solution
The third proportional to 229,538.50 and 492,281 is: 1,055,773.14
Step by Step Solution
- Step 1: Write the proportion equation
229,538.50 : 492,281 = 492,281 : x - Step 2: Convert to fraction form
229,538.50/492,281 = 492,281/x - Step 3: Cross multiply
229,538.50x = 492,281 × 492,281 - Step 4: Simplify right side
229,538.50x = 242,340,582,961 - Step 5: Solve for x
x = 242,340,582,961/229,538.50 - Step 6: Final answer
x = 1,055,773.14
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.