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Finding the Third Proportional to 201,180 and 418,890

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Solution

The third proportional to 201,180 and 418,890 is: 872,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,180 : 418,890 = 418,890 : x
  2. Step 2: Convert to fraction form
    201,180/418,890 = 418,890/x
  3. Step 3: Cross multiply
    201,180x = 418,890 × 418,890
  4. Step 4: Simplify right side
    201,180x = 175,468,832,100
  5. Step 5: Solve for x
    x = 175,468,832,100/201,180
  6. Step 6: Final answer
    x = 872,198.19

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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.