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Finding the Third Proportional to 209,665 and 279,336

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Solution

The third proportional to 209,665 and 279,336 is: 372,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,665 : 279,336 = 279,336 : x
  2. Step 2: Convert to fraction form
    209,665/279,336 = 279,336/x
  3. Step 3: Cross multiply
    209,665x = 279,336 × 279,336
  4. Step 4: Simplify right side
    209,665x = 78,028,600,896
  5. Step 5: Solve for x
    x = 78,028,600,896/209,665
  6. Step 6: Final answer
    x = 372,158.45

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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.