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Finding the Third Proportional to 252,745.50 and 380,144.25

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Solution

The third proportional to 252,745.50 and 380,144.25 is: 571,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,745.50 : 380,144.25 = 380,144.25 : x
  2. Step 2: Convert to fraction form
    252,745.50/380,144.25 = 380,144.25/x
  3. Step 3: Cross multiply
    252,745.50x = 380,144.25 × 380,144.25
  4. Step 4: Simplify right side
    252,745.50x = 144,509,650,808.06
  5. Step 5: Solve for x
    x = 144,509,650,808.06/252,745.50
  6. Step 6: Final answer
    x = 571,759.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.