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Finding the Third Proportional to 188,408 and 283,017

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Solution

The third proportional to 188,408 and 283,017 is: 425,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,408 : 283,017 = 283,017 : x
  2. Step 2: Convert to fraction form
    188,408/283,017 = 283,017/x
  3. Step 3: Cross multiply
    188,408x = 283,017 × 283,017
  4. Step 4: Simplify right side
    188,408x = 80,098,622,289
  5. Step 5: Solve for x
    x = 80,098,622,289/188,408
  6. Step 6: Final answer
    x = 425,133.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.