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Finding the Third Proportional to 167,400 and 248,204

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Solution

The third proportional to 167,400 and 248,204 is: 368,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,400 : 248,204 = 248,204 : x
  2. Step 2: Convert to fraction form
    167,400/248,204 = 248,204/x
  3. Step 3: Cross multiply
    167,400x = 248,204 × 248,204
  4. Step 4: Simplify right side
    167,400x = 61,605,225,616
  5. Step 5: Solve for x
    x = 61,605,225,616/167,400
  6. Step 6: Final answer
    x = 368,012.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.