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Finding the Third Proportional to 188,016 and 410,331

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Solution

The third proportional to 188,016 and 410,331 is: 895,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,016 : 410,331 = 410,331 : x
  2. Step 2: Convert to fraction form
    188,016/410,331 = 410,331/x
  3. Step 3: Cross multiply
    188,016x = 410,331 × 410,331
  4. Step 4: Simplify right side
    188,016x = 168,371,529,561
  5. Step 5: Solve for x
    x = 168,371,529,561/188,016
  6. Step 6: Final answer
    x = 895,517.03

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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.