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Finding the Third Proportional to 224,869 and 341,907

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Solution

The third proportional to 224,869 and 341,907 is: 519,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,869 : 341,907 = 341,907 : x
  2. Step 2: Convert to fraction form
    224,869/341,907 = 341,907/x
  3. Step 3: Cross multiply
    224,869x = 341,907 × 341,907
  4. Step 4: Simplify right side
    224,869x = 116,900,396,649
  5. Step 5: Solve for x
    x = 116,900,396,649/224,869
  6. Step 6: Final answer
    x = 519,859.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.