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Finding the Third Proportional to 253,923 and 371,537.50

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Solution

The third proportional to 253,923 and 371,537.50 is: 543,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,923 : 371,537.50 = 371,537.50 : x
  2. Step 2: Convert to fraction form
    253,923/371,537.50 = 371,537.50/x
  3. Step 3: Cross multiply
    253,923x = 371,537.50 × 371,537.50
  4. Step 4: Simplify right side
    253,923x = 138,040,113,906.25
  5. Step 5: Solve for x
    x = 138,040,113,906.25/253,923
  6. Step 6: Final answer
    x = 543,629.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.