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Finding the Third Proportional to 188,520 and 410,208

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Solution

The third proportional to 188,520 and 410,208 is: 892,587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,520 : 410,208 = 410,208 : x
  2. Step 2: Convert to fraction form
    188,520/410,208 = 410,208/x
  3. Step 3: Cross multiply
    188,520x = 410,208 × 410,208
  4. Step 4: Simplify right side
    188,520x = 168,270,603,264
  5. Step 5: Solve for x
    x = 168,270,603,264/188,520
  6. Step 6: Final answer
    x = 892,587.54

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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.