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Finding the Third Proportional to 168,336.75 and 362,911.50

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Solution

The third proportional to 168,336.75 and 362,911.50 is: 782,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,336.75 : 362,911.50 = 362,911.50 : x
  2. Step 2: Convert to fraction form
    168,336.75/362,911.50 = 362,911.50/x
  3. Step 3: Cross multiply
    168,336.75x = 362,911.50 × 362,911.50
  4. Step 4: Simplify right side
    168,336.75x = 131,704,756,832.25
  5. Step 5: Solve for x
    x = 131,704,756,832.25/168,336.75
  6. Step 6: Final answer
    x = 782,388.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.