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Finding the Third Proportional to 175,668 and 263,025

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Solution

The third proportional to 175,668 and 263,025 is: 393,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,668 : 263,025 = 263,025 : x
  2. Step 2: Convert to fraction form
    175,668/263,025 = 263,025/x
  3. Step 3: Cross multiply
    175,668x = 263,025 × 263,025
  4. Step 4: Simplify right side
    175,668x = 69,182,150,625
  5. Step 5: Solve for x
    x = 69,182,150,625/175,668
  6. Step 6: Final answer
    x = 393,823.30

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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.