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Finding the Third Proportional to 134,625 and 283,200

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Solution

The third proportional to 134,625 and 283,200 is: 595,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,625 : 283,200 = 283,200 : x
  2. Step 2: Convert to fraction form
    134,625/283,200 = 283,200/x
  3. Step 3: Cross multiply
    134,625x = 283,200 × 283,200
  4. Step 4: Simplify right side
    134,625x = 80,202,240,000
  5. Step 5: Solve for x
    x = 80,202,240,000/134,625
  6. Step 6: Final answer
    x = 595,745.52

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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.