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Finding the Third Proportional to 175,690 and 263,055

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Solution

The third proportional to 175,690 and 263,055 is: 393,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,690 : 263,055 = 263,055 : x
  2. Step 2: Convert to fraction form
    175,690/263,055 = 263,055/x
  3. Step 3: Cross multiply
    175,690x = 263,055 × 263,055
  4. Step 4: Simplify right side
    175,690x = 69,197,933,025
  5. Step 5: Solve for x
    x = 69,197,933,025/175,690
  6. Step 6: Final answer
    x = 393,863.81

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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.