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Finding the Third Proportional to 176,279 and 264,806

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Solution

The third proportional to 176,279 and 264,806 is: 397,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,279 : 264,806 = 264,806 : x
  2. Step 2: Convert to fraction form
    176,279/264,806 = 264,806/x
  3. Step 3: Cross multiply
    176,279x = 264,806 × 264,806
  4. Step 4: Simplify right side
    176,279x = 70,122,217,636
  5. Step 5: Solve for x
    x = 70,122,217,636/176,279
  6. Step 6: Final answer
    x = 397,791.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.