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Finding the Third Proportional to 201,149 and 418,832

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Solution

The third proportional to 201,149 and 418,832 is: 872,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,149 : 418,832 = 418,832 : x
  2. Step 2: Convert to fraction form
    201,149/418,832 = 418,832/x
  3. Step 3: Cross multiply
    201,149x = 418,832 × 418,832
  4. Step 4: Simplify right side
    201,149x = 175,420,244,224
  5. Step 5: Solve for x
    x = 175,420,244,224/201,149
  6. Step 6: Final answer
    x = 872,091.06

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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.