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Finding the Third Proportional to 103,627 and 226,694

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Solution

The third proportional to 103,627 and 226,694 is: 495,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,627 : 226,694 = 226,694 : x
  2. Step 2: Convert to fraction form
    103,627/226,694 = 226,694/x
  3. Step 3: Cross multiply
    103,627x = 226,694 × 226,694
  4. Step 4: Simplify right side
    103,627x = 51,390,169,636
  5. Step 5: Solve for x
    x = 51,390,169,636/103,627
  6. Step 6: Final answer
    x = 495,914.86

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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.