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Finding the Third Proportional to 139,360.50 and 205,760.25

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Solution

The third proportional to 139,360.50 and 205,760.25 is: 303,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,360.50 : 205,760.25 = 205,760.25 : x
  2. Step 2: Convert to fraction form
    139,360.50/205,760.25 = 205,760.25/x
  3. Step 3: Cross multiply
    139,360.50x = 205,760.25 × 205,760.25
  4. Step 4: Simplify right side
    139,360.50x = 42,337,280,480.06
  5. Step 5: Solve for x
    x = 42,337,280,480.06/139,360.50
  6. Step 6: Final answer
    x = 303,796.85

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.