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Finding the Third Proportional to 201,131.44 and 440,672.06

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Solution

The third proportional to 201,131.44 and 440,672.06 is: 965,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,131.44 : 440,672.06 = 440,672.06 : x
  2. Step 2: Convert to fraction form
    201,131.44/440,672.06 = 440,672.06/x
  3. Step 3: Cross multiply
    201,131.44x = 440,672.06 × 440,672.06
  4. Step 4: Simplify right side
    201,131.44x = 194,191,866,668.00
  5. Step 5: Solve for x
    x = 194,191,866,668.00/201,131.44
  6. Step 6: Final answer
    x = 965,497.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.