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Finding the Third Proportional to 183,689 and 276,884

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Solution

The third proportional to 183,689 and 276,884 is: 417,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,689 : 276,884 = 276,884 : x
  2. Step 2: Convert to fraction form
    183,689/276,884 = 276,884/x
  3. Step 3: Cross multiply
    183,689x = 276,884 × 276,884
  4. Step 4: Simplify right side
    183,689x = 76,664,749,456
  5. Step 5: Solve for x
    x = 76,664,749,456/183,689
  6. Step 6: Final answer
    x = 417,361.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.