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Finding the Third Proportional to 105,400 and 248,801

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Solution

The third proportional to 105,400 and 248,801 is: 587,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,400 : 248,801 = 248,801 : x
  2. Step 2: Convert to fraction form
    105,400/248,801 = 248,801/x
  3. Step 3: Cross multiply
    105,400x = 248,801 × 248,801
  4. Step 4: Simplify right side
    105,400x = 61,901,937,601
  5. Step 5: Solve for x
    x = 61,901,937,601/105,400
  6. Step 6: Final answer
    x = 587,304.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.