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Finding the Third Proportional to 188,836 and 410,539

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Solution

The third proportional to 188,836 and 410,539 is: 892,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,836 : 410,539 = 410,539 : x
  2. Step 2: Convert to fraction form
    188,836/410,539 = 410,539/x
  3. Step 3: Cross multiply
    188,836x = 410,539 × 410,539
  4. Step 4: Simplify right side
    188,836x = 168,542,270,521
  5. Step 5: Solve for x
    x = 168,542,270,521/188,836
  6. Step 6: Final answer
    x = 892,532.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.