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Finding the Third Proportional to 174,015 and 381,645

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Solution

The third proportional to 174,015 and 381,645 is: 837,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,015 : 381,645 = 381,645 : x
  2. Step 2: Convert to fraction form
    174,015/381,645 = 381,645/x
  3. Step 3: Cross multiply
    174,015x = 381,645 × 381,645
  4. Step 4: Simplify right side
    174,015x = 145,652,906,025
  5. Step 5: Solve for x
    x = 145,652,906,025/174,015
  6. Step 6: Final answer
    x = 837,013.51

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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.