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Finding the Third Proportional to 209,654 and 279,326

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Solution

The third proportional to 209,654 and 279,326 is: 372,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,654 : 279,326 = 279,326 : x
  2. Step 2: Convert to fraction form
    209,654/279,326 = 279,326/x
  3. Step 3: Cross multiply
    209,654x = 279,326 × 279,326
  4. Step 4: Simplify right side
    209,654x = 78,023,014,276
  5. Step 5: Solve for x
    x = 78,023,014,276/209,654
  6. Step 6: Final answer
    x = 372,151.33

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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.