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Finding the Third Proportional to 224,806 and 338,694

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Solution

The third proportional to 224,806 and 338,694 is: 510,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,806 : 338,694 = 338,694 : x
  2. Step 2: Convert to fraction form
    224,806/338,694 = 338,694/x
  3. Step 3: Cross multiply
    224,806x = 338,694 × 338,694
  4. Step 4: Simplify right side
    224,806x = 114,713,625,636
  5. Step 5: Solve for x
    x = 114,713,625,636/224,806
  6. Step 6: Final answer
    x = 510,278.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.