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Finding the Third Proportional to 176,273 and 264,800

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Solution

The third proportional to 176,273 and 264,800 is: 397,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,273 : 264,800 = 264,800 : x
  2. Step 2: Convert to fraction form
    176,273/264,800 = 264,800/x
  3. Step 3: Cross multiply
    176,273x = 264,800 × 264,800
  4. Step 4: Simplify right side
    176,273x = 70,119,040,000
  5. Step 5: Solve for x
    x = 70,119,040,000/176,273
  6. Step 6: Final answer
    x = 397,786.62

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