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Finding the Third Proportional to 114,824 and 167,698

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Solution

The third proportional to 114,824 and 167,698 is: 244,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,824 : 167,698 = 167,698 : x
  2. Step 2: Convert to fraction form
    114,824/167,698 = 167,698/x
  3. Step 3: Cross multiply
    114,824x = 167,698 × 167,698
  4. Step 4: Simplify right side
    114,824x = 28,122,619,204
  5. Step 5: Solve for x
    x = 28,122,619,204/114,824
  6. Step 6: Final answer
    x = 244,919.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.