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Finding the Third Proportional to 155,311.50 and 339,697.50

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Solution

The third proportional to 155,311.50 and 339,697.50 is: 742,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,311.50 : 339,697.50 = 339,697.50 : x
  2. Step 2: Convert to fraction form
    155,311.50/339,697.50 = 339,697.50/x
  3. Step 3: Cross multiply
    155,311.50x = 339,697.50 × 339,697.50
  4. Step 4: Simplify right side
    155,311.50x = 115,394,391,506.25
  5. Step 5: Solve for x
    x = 115,394,391,506.25/155,311.50
  6. Step 6: Final answer
    x = 742,986.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.