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Finding the Third Proportional to 102,684 and 224,694

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Solution

The third proportional to 102,684 and 224,694 is: 491,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,684 : 224,694 = 224,694 : x
  2. Step 2: Convert to fraction form
    102,684/224,694 = 224,694/x
  3. Step 3: Cross multiply
    102,684x = 224,694 × 224,694
  4. Step 4: Simplify right side
    102,684x = 50,487,393,636
  5. Step 5: Solve for x
    x = 50,487,393,636/102,684
  6. Step 6: Final answer
    x = 491,677.32

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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.