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Finding the Third Proportional to 168,690.75 and 356,347.50

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Solution

The third proportional to 168,690.75 and 356,347.50 is: 752,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,690.75 : 356,347.50 = 356,347.50 : x
  2. Step 2: Convert to fraction form
    168,690.75/356,347.50 = 356,347.50/x
  3. Step 3: Cross multiply
    168,690.75x = 356,347.50 × 356,347.50
  4. Step 4: Simplify right side
    168,690.75x = 126,983,540,756.25
  5. Step 5: Solve for x
    x = 126,983,540,756.25/168,690.75
  6. Step 6: Final answer
    x = 752,759.36

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.