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Finding the Third Proportional to 201,067.31 and 418,673.81

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Solution

The third proportional to 201,067.31 and 418,673.81 is: 871,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,067.31 : 418,673.81 = 418,673.81 : x
  2. Step 2: Convert to fraction form
    201,067.31/418,673.81 = 418,673.81/x
  3. Step 3: Cross multiply
    201,067.31x = 418,673.81 × 418,673.81
  4. Step 4: Simplify right side
    201,067.31x = 175,287,761,273.29
  5. Step 5: Solve for x
    x = 175,287,761,273.29/201,067.31
  6. Step 6: Final answer
    x = 871,786.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.