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Finding the Third Proportional to 225,775.69 and 309,600.09

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Solution

The third proportional to 225,775.69 and 309,600.09 is: 424,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,775.69 : 309,600.09 = 309,600.09 : x
  2. Step 2: Convert to fraction form
    225,775.69/309,600.09 = 309,600.09/x
  3. Step 3: Cross multiply
    225,775.69x = 309,600.09 × 309,600.09
  4. Step 4: Simplify right side
    225,775.69x = 95,852,218,050.01
  5. Step 5: Solve for x
    x = 95,852,218,050.01/225,775.69
  6. Step 6: Final answer
    x = 424,546.23

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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.