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Finding the Third Proportional to 163,236.38 and 231,185.81

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Solution

The third proportional to 163,236.38 and 231,185.81 is: 327,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,236.38 : 231,185.81 = 231,185.81 : x
  2. Step 2: Convert to fraction form
    163,236.38/231,185.81 = 231,185.81/x
  3. Step 3: Cross multiply
    163,236.38x = 231,185.81 × 231,185.81
  4. Step 4: Simplify right side
    163,236.38x = 53,446,879,901.29
  5. Step 5: Solve for x
    x = 53,446,879,901.29/163,236.38
  6. Step 6: Final answer
    x = 327,420.16

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.