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Finding the Third Proportional to 122,850 and 250,884

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Solution

The third proportional to 122,850 and 250,884 is: 512,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,850 : 250,884 = 250,884 : x
  2. Step 2: Convert to fraction form
    122,850/250,884 = 250,884/x
  3. Step 3: Cross multiply
    122,850x = 250,884 × 250,884
  4. Step 4: Simplify right side
    122,850x = 62,942,781,456
  5. Step 5: Solve for x
    x = 62,942,781,456/122,850
  6. Step 6: Final answer
    x = 512,354.75

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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.