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Finding the Third Proportional to 207,223.31 and 309,556.69

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Solution

The third proportional to 207,223.31 and 309,556.69 is: 462,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,223.31 : 309,556.69 = 309,556.69 : x
  2. Step 2: Convert to fraction form
    207,223.31/309,556.69 = 309,556.69/x
  3. Step 3: Cross multiply
    207,223.31x = 309,556.69 × 309,556.69
  4. Step 4: Simplify right side
    207,223.31x = 95,825,342,775.97
  5. Step 5: Solve for x
    x = 95,825,342,775.97/207,223.31
  6. Step 6: Final answer
    x = 462,425.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.