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Finding the Third Proportional to 209,666 and 279,337

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Solution

The third proportional to 209,666 and 279,337 is: 372,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,666 : 279,337 = 279,337 : x
  2. Step 2: Convert to fraction form
    209,666/279,337 = 279,337/x
  3. Step 3: Cross multiply
    209,666x = 279,337 × 279,337
  4. Step 4: Simplify right side
    209,666x = 78,029,159,569
  5. Step 5: Solve for x
    x = 78,029,159,569/209,666
  6. Step 6: Final answer
    x = 372,159.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.