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Finding the Third Proportional to 168,988.50 and 263,175.75

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Solution

The third proportional to 168,988.50 and 263,175.75 is: 409,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,988.50 : 263,175.75 = 263,175.75 : x
  2. Step 2: Convert to fraction form
    168,988.50/263,175.75 = 263,175.75/x
  3. Step 3: Cross multiply
    168,988.50x = 263,175.75 × 263,175.75
  4. Step 4: Simplify right side
    168,988.50x = 69,261,475,388.06
  5. Step 5: Solve for x
    x = 69,261,475,388.06/168,988.50
  6. Step 6: Final answer
    x = 409,859.11

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.