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Finding the Third Proportional to 171,675 and 231,015.50

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Solution

The third proportional to 171,675 and 231,015.50 is: 310,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,675 : 231,015.50 = 231,015.50 : x
  2. Step 2: Convert to fraction form
    171,675/231,015.50 = 231,015.50/x
  3. Step 3: Cross multiply
    171,675x = 231,015.50 × 231,015.50
  4. Step 4: Simplify right side
    171,675x = 53,368,161,240.25
  5. Step 5: Solve for x
    x = 53,368,161,240.25/171,675
  6. Step 6: Final answer
    x = 310,867.40

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.