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Finding the Third Proportional to 134,652 and 283,228

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Solution

The third proportional to 134,652 and 283,228 is: 595,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,652 : 283,228 = 283,228 : x
  2. Step 2: Convert to fraction form
    134,652/283,228 = 283,228/x
  3. Step 3: Cross multiply
    134,652x = 283,228 × 283,228
  4. Step 4: Simplify right side
    134,652x = 80,218,099,984
  5. Step 5: Solve for x
    x = 80,218,099,984/134,652
  6. Step 6: Final answer
    x = 595,743.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.