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Finding the Third Proportional to 156,968 and 208,884

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Solution

The third proportional to 156,968 and 208,884 is: 277,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,968 : 208,884 = 208,884 : x
  2. Step 2: Convert to fraction form
    156,968/208,884 = 208,884/x
  3. Step 3: Cross multiply
    156,968x = 208,884 × 208,884
  4. Step 4: Simplify right side
    156,968x = 43,632,525,456
  5. Step 5: Solve for x
    x = 43,632,525,456/156,968
  6. Step 6: Final answer
    x = 277,970.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.