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Finding the Third Proportional to 174,976 and 262,624

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Solution

The third proportional to 174,976 and 262,624 is: 394,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,976 : 262,624 = 262,624 : x
  2. Step 2: Convert to fraction form
    174,976/262,624 = 262,624/x
  3. Step 3: Cross multiply
    174,976x = 262,624 × 262,624
  4. Step 4: Simplify right side
    174,976x = 68,971,365,376
  5. Step 5: Solve for x
    x = 68,971,365,376/174,976
  6. Step 6: Final answer
    x = 394,176.15

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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.