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Finding the Third Proportional to 228,625.50 and 339,627

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Solution

The third proportional to 228,625.50 and 339,627 is: 504,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,625.50 : 339,627 = 339,627 : x
  2. Step 2: Convert to fraction form
    228,625.50/339,627 = 339,627/x
  3. Step 3: Cross multiply
    228,625.50x = 339,627 × 339,627
  4. Step 4: Simplify right side
    228,625.50x = 115,346,499,129
  5. Step 5: Solve for x
    x = 115,346,499,129/228,625.50
  6. Step 6: Final answer
    x = 504,521.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.