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Finding the Third Proportional to 174,881 and 262,324

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Solution

The third proportional to 174,881 and 262,324 is: 393,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,881 : 262,324 = 262,324 : x
  2. Step 2: Convert to fraction form
    174,881/262,324 = 262,324/x
  3. Step 3: Cross multiply
    174,881x = 262,324 × 262,324
  4. Step 4: Simplify right side
    174,881x = 68,813,880,976
  5. Step 5: Solve for x
    x = 68,813,880,976/174,881
  6. Step 6: Final answer
    x = 393,489.75

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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.