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Finding the Third Proportional to 207,735 and 339,179

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Solution

The third proportional to 207,735 and 339,179 is: 553,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,735 : 339,179 = 339,179 : x
  2. Step 2: Convert to fraction form
    207,735/339,179 = 339,179/x
  3. Step 3: Cross multiply
    207,735x = 339,179 × 339,179
  4. Step 4: Simplify right side
    207,735x = 115,042,394,041
  5. Step 5: Solve for x
    x = 115,042,394,041/207,735
  6. Step 6: Final answer
    x = 553,793.99

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.