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Finding the Third Proportional to 230,049.75 and 492,082.50

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Solution

The third proportional to 230,049.75 and 492,082.50 is: 1,052,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,049.75 : 492,082.50 = 492,082.50 : x
  2. Step 2: Convert to fraction form
    230,049.75/492,082.50 = 492,082.50/x
  3. Step 3: Cross multiply
    230,049.75x = 492,082.50 × 492,082.50
  4. Step 4: Simplify right side
    230,049.75x = 242,145,186,806.25
  5. Step 5: Solve for x
    x = 242,145,186,806.25/230,049.75
  6. Step 6: Final answer
    x = 1,052,577.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.