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Finding the Third Proportional to 171,969.75 and 356,089.50

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Solution

The third proportional to 171,969.75 and 356,089.50 is: 737,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,969.75 : 356,089.50 = 356,089.50 : x
  2. Step 2: Convert to fraction form
    171,969.75/356,089.50 = 356,089.50/x
  3. Step 3: Cross multiply
    171,969.75x = 356,089.50 × 356,089.50
  4. Step 4: Simplify right side
    171,969.75x = 126,799,732,010.25
  5. Step 5: Solve for x
    x = 126,799,732,010.25/171,969.75
  6. Step 6: Final answer
    x = 737,337.42

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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.