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Finding the Third Proportional to 231,231.75 and 504,373.13

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Solution

The third proportional to 231,231.75 and 504,373.13 is: 1,100,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,231.75 : 504,373.13 = 504,373.13 : x
  2. Step 2: Convert to fraction form
    231,231.75/504,373.13 = 504,373.13/x
  3. Step 3: Cross multiply
    231,231.75x = 504,373.13 × 504,373.13
  4. Step 4: Simplify right side
    231,231.75x = 254,392,249,222.27
  5. Step 5: Solve for x
    x = 254,392,249,222.27/231,231.75
  6. Step 6: Final answer
    x = 1,100,161.41

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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.