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Finding the Third Proportional to 176,400 and 264,997

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Solution

The third proportional to 176,400 and 264,997 is: 398,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,400 : 264,997 = 264,997 : x
  2. Step 2: Convert to fraction form
    176,400/264,997 = 264,997/x
  3. Step 3: Cross multiply
    176,400x = 264,997 × 264,997
  4. Step 4: Simplify right side
    176,400x = 70,223,410,009
  5. Step 5: Solve for x
    x = 70,223,410,009/176,400
  6. Step 6: Final answer
    x = 398,091.89

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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.