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Finding the Third Proportional to 174,197 and 381,622

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Solution

The third proportional to 174,197 and 381,622 is: 836,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,197 : 381,622 = 381,622 : x
  2. Step 2: Convert to fraction form
    174,197/381,622 = 381,622/x
  3. Step 3: Cross multiply
    174,197x = 381,622 × 381,622
  4. Step 4: Simplify right side
    174,197x = 145,635,350,884
  5. Step 5: Solve for x
    x = 145,635,350,884/174,197
  6. Step 6: Final answer
    x = 836,038.23

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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.