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Finding the Third Proportional to 164,622 and 246,229

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Solution

The third proportional to 164,622 and 246,229 is: 368,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,622 : 246,229 = 246,229 : x
  2. Step 2: Convert to fraction form
    164,622/246,229 = 246,229/x
  3. Step 3: Cross multiply
    164,622x = 246,229 × 246,229
  4. Step 4: Simplify right side
    164,622x = 60,628,720,441
  5. Step 5: Solve for x
    x = 60,628,720,441/164,622
  6. Step 6: Final answer
    x = 368,290.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.