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Finding the Third Proportional to 170,137.13 and 231,202.69

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Solution

The third proportional to 170,137.13 and 231,202.69 is: 314,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,137.13 : 231,202.69 = 231,202.69 : x
  2. Step 2: Convert to fraction form
    170,137.13/231,202.69 = 231,202.69/x
  3. Step 3: Cross multiply
    170,137.13x = 231,202.69 × 231,202.69
  4. Step 4: Simplify right side
    170,137.13x = 53,454,682,707.22
  5. Step 5: Solve for x
    x = 53,454,682,707.22/170,137.13
  6. Step 6: Final answer
    x = 314,185.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.