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Finding the Third Proportional to 207,727 and 339,166

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Solution

The third proportional to 207,727 and 339,166 is: 553,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,727 : 339,166 = 339,166 : x
  2. Step 2: Convert to fraction form
    207,727/339,166 = 339,166/x
  3. Step 3: Cross multiply
    207,727x = 339,166 × 339,166
  4. Step 4: Simplify right side
    207,727x = 115,033,575,556
  5. Step 5: Solve for x
    x = 115,033,575,556/207,727
  6. Step 6: Final answer
    x = 553,772.86

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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.