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Finding the Third Proportional to 188,515.50 and 410,199

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Solution

The third proportional to 188,515.50 and 410,199 is: 892,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,515.50 : 410,199 = 410,199 : x
  2. Step 2: Convert to fraction form
    188,515.50/410,199 = 410,199/x
  3. Step 3: Cross multiply
    188,515.50x = 410,199 × 410,199
  4. Step 4: Simplify right side
    188,515.50x = 168,263,219,601
  5. Step 5: Solve for x
    x = 168,263,219,601/188,515.50
  6. Step 6: Final answer
    x = 892,569.68

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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.