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Finding the Third Proportional to 171,978.75 and 356,107.50

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Solution

The third proportional to 171,978.75 and 356,107.50 is: 737,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,978.75 : 356,107.50 = 356,107.50 : x
  2. Step 2: Convert to fraction form
    171,978.75/356,107.50 = 356,107.50/x
  3. Step 3: Cross multiply
    171,978.75x = 356,107.50 × 356,107.50
  4. Step 4: Simplify right side
    171,978.75x = 126,812,551,556.25
  5. Step 5: Solve for x
    x = 126,812,551,556.25/171,978.75
  6. Step 6: Final answer
    x = 737,373.38

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.