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Finding the Third Proportional to 174,885 and 262,330

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Solution

The third proportional to 174,885 and 262,330 is: 393,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,885 : 262,330 = 262,330 : x
  2. Step 2: Convert to fraction form
    174,885/262,330 = 262,330/x
  3. Step 3: Cross multiply
    174,885x = 262,330 × 262,330
  4. Step 4: Simplify right side
    174,885x = 68,817,028,900
  5. Step 5: Solve for x
    x = 68,817,028,900/174,885
  6. Step 6: Final answer
    x = 393,498.75

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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.