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Finding the Third Proportional to 255,730.50 and 401,163.75

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Solution

The third proportional to 255,730.50 and 401,163.75 is: 629,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,730.50 : 401,163.75 = 401,163.75 : x
  2. Step 2: Convert to fraction form
    255,730.50/401,163.75 = 401,163.75/x
  3. Step 3: Cross multiply
    255,730.50x = 401,163.75 × 401,163.75
  4. Step 4: Simplify right side
    255,730.50x = 160,932,354,314.06
  5. Step 5: Solve for x
    x = 160,932,354,314.06/255,730.50
  6. Step 6: Final answer
    x = 629,304.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.