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Finding the Third Proportional to 188,541 and 410,252

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Solution

The third proportional to 188,541 and 410,252 is: 892,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,541 : 410,252 = 410,252 : x
  2. Step 2: Convert to fraction form
    188,541/410,252 = 410,252/x
  3. Step 3: Cross multiply
    188,541x = 410,252 × 410,252
  4. Step 4: Simplify right side
    188,541x = 168,306,703,504
  5. Step 5: Solve for x
    x = 168,306,703,504/188,541
  6. Step 6: Final answer
    x = 892,679.59

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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.