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Finding the Third Proportional to 187,954.13 and 443,538.75

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Solution

The third proportional to 187,954.13 and 443,538.75 is: 1,046,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,954.13 : 443,538.75 = 443,538.75 : x
  2. Step 2: Convert to fraction form
    187,954.13/443,538.75 = 443,538.75/x
  3. Step 3: Cross multiply
    187,954.13x = 443,538.75 × 443,538.75
  4. Step 4: Simplify right side
    187,954.13x = 196,726,622,751.56
  5. Step 5: Solve for x
    x = 196,726,622,751.56/187,954.13
  6. Step 6: Final answer
    x = 1,046,673.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.