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Finding the Third Proportional to 183,103 and 283,367

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Solution

The third proportional to 183,103 and 283,367 is: 438,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,103 : 283,367 = 283,367 : x
  2. Step 2: Convert to fraction form
    183,103/283,367 = 283,367/x
  3. Step 3: Cross multiply
    183,103x = 283,367 × 283,367
  4. Step 4: Simplify right side
    183,103x = 80,296,856,689
  5. Step 5: Solve for x
    x = 80,296,856,689/183,103
  6. Step 6: Final answer
    x = 438,533.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.