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Finding the Third Proportional to 228,170 and 533,105

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Solution

The third proportional to 228,170 and 533,105 is: 1,245,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,170 : 533,105 = 533,105 : x
  2. Step 2: Convert to fraction form
    228,170/533,105 = 533,105/x
  3. Step 3: Cross multiply
    228,170x = 533,105 × 533,105
  4. Step 4: Simplify right side
    228,170x = 284,200,941,025
  5. Step 5: Solve for x
    x = 284,200,941,025/228,170
  6. Step 6: Final answer
    x = 1,245,566.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.