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Finding the Third Proportional to 338,177 and 522,149

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Solution

The third proportional to 338,177 and 522,149 is: 806,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,177 : 522,149 = 522,149 : x
  2. Step 2: Convert to fraction form
    338,177/522,149 = 522,149/x
  3. Step 3: Cross multiply
    338,177x = 522,149 × 522,149
  4. Step 4: Simplify right side
    338,177x = 272,639,578,201
  5. Step 5: Solve for x
    x = 272,639,578,201/338,177
  6. Step 6: Final answer
    x = 806,203.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.