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Finding the Third Proportional to 225,785.81 and 309,610.69

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Solution

The third proportional to 225,785.81 and 309,610.69 is: 424,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,785.81 : 309,610.69 = 309,610.69 : x
  2. Step 2: Convert to fraction form
    225,785.81/309,610.69 = 309,610.69/x
  3. Step 3: Cross multiply
    225,785.81x = 309,610.69 × 309,610.69
  4. Step 4: Simplify right side
    225,785.81x = 95,858,777,814.22
  5. Step 5: Solve for x
    x = 95,858,777,814.22/225,785.81
  6. Step 6: Final answer
    x = 424,556.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.