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Finding the Third Proportional to 200,344 and 280,104

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Solution

The third proportional to 200,344 and 280,104 is: 391,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,344 : 280,104 = 280,104 : x
  2. Step 2: Convert to fraction form
    200,344/280,104 = 280,104/x
  3. Step 3: Cross multiply
    200,344x = 280,104 × 280,104
  4. Step 4: Simplify right side
    200,344x = 78,458,250,816
  5. Step 5: Solve for x
    x = 78,458,250,816/200,344
  6. Step 6: Final answer
    x = 391,617.67

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.