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Finding the Third Proportional to 183,669 and 283,692

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Solution

The third proportional to 183,669 and 283,692 is: 438,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,669 : 283,692 = 283,692 : x
  2. Step 2: Convert to fraction form
    183,669/283,692 = 283,692/x
  3. Step 3: Cross multiply
    183,669x = 283,692 × 283,692
  4. Step 4: Simplify right side
    183,669x = 80,481,150,864
  5. Step 5: Solve for x
    x = 80,481,150,864/183,669
  6. Step 6: Final answer
    x = 438,185.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.