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Finding the Third Proportional to 188,024 and 410,345

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Solution

The third proportional to 188,024 and 410,345 is: 895,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,024 : 410,345 = 410,345 : x
  2. Step 2: Convert to fraction form
    188,024/410,345 = 410,345/x
  3. Step 3: Cross multiply
    188,024x = 410,345 × 410,345
  4. Step 4: Simplify right side
    188,024x = 168,383,019,025
  5. Step 5: Solve for x
    x = 168,383,019,025/188,024
  6. Step 6: Final answer
    x = 895,540.03

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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.