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Finding the Third Proportional to 176,268 and 264,793

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Solution

The third proportional to 176,268 and 264,793 is: 397,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,268 : 264,793 = 264,793 : x
  2. Step 2: Convert to fraction form
    176,268/264,793 = 264,793/x
  3. Step 3: Cross multiply
    176,268x = 264,793 × 264,793
  4. Step 4: Simplify right side
    176,268x = 70,115,332,849
  5. Step 5: Solve for x
    x = 70,115,332,849/176,268
  6. Step 6: Final answer
    x = 397,776.87

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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.