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Finding the Third Proportional to 176,274 and 264,802

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Solution

The third proportional to 176,274 and 264,802 is: 397,790.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,274 : 264,802 = 264,802 : x
  2. Step 2: Convert to fraction form
    176,274/264,802 = 264,802/x
  3. Step 3: Cross multiply
    176,274x = 264,802 × 264,802
  4. Step 4: Simplify right side
    176,274x = 70,120,099,204
  5. Step 5: Solve for x
    x = 70,120,099,204/176,274
  6. Step 6: Final answer
    x = 397,790.37

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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.