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Finding the Third Proportional to 201,758 and 436,914

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Solution

The third proportional to 201,758 and 436,914 is: 946,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,758 : 436,914 = 436,914 : x
  2. Step 2: Convert to fraction form
    201,758/436,914 = 436,914/x
  3. Step 3: Cross multiply
    201,758x = 436,914 × 436,914
  4. Step 4: Simplify right side
    201,758x = 190,893,843,396
  5. Step 5: Solve for x
    x = 190,893,843,396/201,758
  6. Step 6: Final answer
    x = 946,152.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.