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Finding the Third Proportional to 171,744.75 and 366,315.75

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Solution

The third proportional to 171,744.75 and 366,315.75 is: 781,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,744.75 : 366,315.75 = 366,315.75 : x
  2. Step 2: Convert to fraction form
    171,744.75/366,315.75 = 366,315.75/x
  3. Step 3: Cross multiply
    171,744.75x = 366,315.75 × 366,315.75
  4. Step 4: Simplify right side
    171,744.75x = 134,187,228,698.06
  5. Step 5: Solve for x
    x = 134,187,228,698.06/171,744.75
  6. Step 6: Final answer
    x = 781,317.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.