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Finding the Third Proportional to 201,240 and 419,016

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Solution

The third proportional to 201,240 and 419,016 is: 872,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,240 : 419,016 = 419,016 : x
  2. Step 2: Convert to fraction form
    201,240/419,016 = 419,016/x
  3. Step 3: Cross multiply
    201,240x = 419,016 × 419,016
  4. Step 4: Simplify right side
    201,240x = 175,574,408,256
  5. Step 5: Solve for x
    x = 175,574,408,256/201,240
  6. Step 6: Final answer
    x = 872,462.77

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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.