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Finding the Third Proportional to 123,220 and 250,907

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Solution

The third proportional to 123,220 and 250,907 is: 510,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,220 : 250,907 = 250,907 : x
  2. Step 2: Convert to fraction form
    123,220/250,907 = 250,907/x
  3. Step 3: Cross multiply
    123,220x = 250,907 × 250,907
  4. Step 4: Simplify right side
    123,220x = 62,954,322,649
  5. Step 5: Solve for x
    x = 62,954,322,649/123,220
  6. Step 6: Final answer
    x = 510,909.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.