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Finding the Third Proportional to 174,016 and 381,647

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Solution

The third proportional to 174,016 and 381,647 is: 837,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,016 : 381,647 = 381,647 : x
  2. Step 2: Convert to fraction form
    174,016/381,647 = 381,647/x
  3. Step 3: Cross multiply
    174,016x = 381,647 × 381,647
  4. Step 4: Simplify right side
    174,016x = 145,654,432,609
  5. Step 5: Solve for x
    x = 145,654,432,609/174,016
  6. Step 6: Final answer
    x = 837,017.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.