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Finding the Third Proportional to 174,672.75 and 262,883.75

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Solution

The third proportional to 174,672.75 and 262,883.75 is: 395,641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,672.75 : 262,883.75 = 262,883.75 : x
  2. Step 2: Convert to fraction form
    174,672.75/262,883.75 = 262,883.75/x
  3. Step 3: Cross multiply
    174,672.75x = 262,883.75 × 262,883.75
  4. Step 4: Simplify right side
    174,672.75x = 69,107,866,014.06
  5. Step 5: Solve for x
    x = 69,107,866,014.06/174,672.75
  6. Step 6: Final answer
    x = 395,641.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.