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Finding the Third Proportional to 155,884.50 and 235,230.75

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Solution

The third proportional to 155,884.50 and 235,230.75 is: 354,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,884.50 : 235,230.75 = 235,230.75 : x
  2. Step 2: Convert to fraction form
    155,884.50/235,230.75 = 235,230.75/x
  3. Step 3: Cross multiply
    155,884.50x = 235,230.75 × 235,230.75
  4. Step 4: Simplify right side
    155,884.50x = 55,333,505,745.56
  5. Step 5: Solve for x
    x = 55,333,505,745.56/155,884.50
  6. Step 6: Final answer
    x = 354,964.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.