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Finding the Third Proportional to 183,324 and 283,852

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Solution

The third proportional to 183,324 and 283,852 is: 439,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,324 : 283,852 = 283,852 : x
  2. Step 2: Convert to fraction form
    183,324/283,852 = 283,852/x
  3. Step 3: Cross multiply
    183,324x = 283,852 × 283,852
  4. Step 4: Simplify right side
    183,324x = 80,571,957,904
  5. Step 5: Solve for x
    x = 80,571,957,904/183,324
  6. Step 6: Final answer
    x = 439,505.78

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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.