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Finding the Third Proportional to 201,536.25 and 439,914

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Solution

The third proportional to 201,536.25 and 439,914 is: 960,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,536.25 : 439,914 = 439,914 : x
  2. Step 2: Convert to fraction form
    201,536.25/439,914 = 439,914/x
  3. Step 3: Cross multiply
    201,536.25x = 439,914 × 439,914
  4. Step 4: Simplify right side
    201,536.25x = 193,524,327,396
  5. Step 5: Solve for x
    x = 193,524,327,396/201,536.25
  6. Step 6: Final answer
    x = 960,245.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.