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Finding the Third Proportional to 183,268 and 283,769

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Solution

The third proportional to 183,268 and 283,769 is: 439,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,268 : 283,769 = 283,769 : x
  2. Step 2: Convert to fraction form
    183,268/283,769 = 283,769/x
  3. Step 3: Cross multiply
    183,268x = 283,769 × 283,769
  4. Step 4: Simplify right side
    183,268x = 80,524,845,361
  5. Step 5: Solve for x
    x = 80,524,845,361/183,268
  6. Step 6: Final answer
    x = 439,383.01

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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.