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Finding the Third Proportional to 228,150 and 533,055

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Solution

The third proportional to 228,150 and 533,055 is: 1,245,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,150 : 533,055 = 533,055 : x
  2. Step 2: Convert to fraction form
    228,150/533,055 = 533,055/x
  3. Step 3: Cross multiply
    228,150x = 533,055 × 533,055
  4. Step 4: Simplify right side
    228,150x = 284,147,633,025
  5. Step 5: Solve for x
    x = 284,147,633,025/228,150
  6. Step 6: Final answer
    x = 1,245,442.18

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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.