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Finding the Third Proportional to 163,110 and 229,698

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Solution

The third proportional to 163,110 and 229,698 is: 323,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,110 : 229,698 = 229,698 : x
  2. Step 2: Convert to fraction form
    163,110/229,698 = 229,698/x
  3. Step 3: Cross multiply
    163,110x = 229,698 × 229,698
  4. Step 4: Simplify right side
    163,110x = 52,761,171,204
  5. Step 5: Solve for x
    x = 52,761,171,204/163,110
  6. Step 6: Final answer
    x = 323,469.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.