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Finding the Third Proportional to 163,660 and 254,002

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Solution

The third proportional to 163,660 and 254,002 is: 394,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,660 : 254,002 = 254,002 : x
  2. Step 2: Convert to fraction form
    163,660/254,002 = 254,002/x
  3. Step 3: Cross multiply
    163,660x = 254,002 × 254,002
  4. Step 4: Simplify right side
    163,660x = 64,517,016,004
  5. Step 5: Solve for x
    x = 64,517,016,004/163,660
  6. Step 6: Final answer
    x = 394,213.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.