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Finding the Third Proportional to 183,729 and 283,917

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Solution

The third proportional to 183,729 and 283,917 is: 438,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,729 : 283,917 = 283,917 : x
  2. Step 2: Convert to fraction form
    183,729/283,917 = 283,917/x
  3. Step 3: Cross multiply
    183,729x = 283,917 × 283,917
  4. Step 4: Simplify right side
    183,729x = 80,608,862,889
  5. Step 5: Solve for x
    x = 80,608,862,889/183,729
  6. Step 6: Final answer
    x = 438,737.83

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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.