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Finding the Third Proportional to 188,880 and 412,104

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Solution

The third proportional to 188,880 and 412,104 is: 899,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,880 : 412,104 = 412,104 : x
  2. Step 2: Convert to fraction form
    188,880/412,104 = 412,104/x
  3. Step 3: Cross multiply
    188,880x = 412,104 × 412,104
  4. Step 4: Simplify right side
    188,880x = 169,829,706,816
  5. Step 5: Solve for x
    x = 169,829,706,816/188,880
  6. Step 6: Final answer
    x = 899,140.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.