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Finding the Third Proportional to 98,299.50 and 231,078

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Solution

The third proportional to 98,299.50 and 231,078 is: 543,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,299.50 : 231,078 = 231,078 : x
  2. Step 2: Convert to fraction form
    98,299.50/231,078 = 231,078/x
  3. Step 3: Cross multiply
    98,299.50x = 231,078 × 231,078
  4. Step 4: Simplify right side
    98,299.50x = 53,397,042,084
  5. Step 5: Solve for x
    x = 53,397,042,084/98,299.50
  6. Step 6: Final answer
    x = 543,207.67

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.