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Finding the Third Proportional to 228,172 and 533,110

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Solution

The third proportional to 228,172 and 533,110 is: 1,245,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,172 : 533,110 = 533,110 : x
  2. Step 2: Convert to fraction form
    228,172/533,110 = 533,110/x
  3. Step 3: Cross multiply
    228,172x = 533,110 × 533,110
  4. Step 4: Simplify right side
    228,172x = 284,206,272,100
  5. Step 5: Solve for x
    x = 284,206,272,100/228,172
  6. Step 6: Final answer
    x = 1,245,579.09

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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.