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Finding the Third Proportional to 102,686 and 224,698

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Solution

The third proportional to 102,686 and 224,698 is: 491,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686 : 224,698 = 224,698 : x
  2. Step 2: Convert to fraction form
    102,686/224,698 = 224,698/x
  3. Step 3: Cross multiply
    102,686x = 224,698 × 224,698
  4. Step 4: Simplify right side
    102,686x = 50,489,191,204
  5. Step 5: Solve for x
    x = 50,489,191,204/102,686
  6. Step 6: Final answer
    x = 491,685.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.