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Finding the Third Proportional to 174,464 and 261,912

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Solution

The third proportional to 174,464 and 261,912 is: 393,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,464 : 261,912 = 261,912 : x
  2. Step 2: Convert to fraction form
    174,464/261,912 = 261,912/x
  3. Step 3: Cross multiply
    174,464x = 261,912 × 261,912
  4. Step 4: Simplify right side
    174,464x = 68,597,895,744
  5. Step 5: Solve for x
    x = 68,597,895,744/174,464
  6. Step 6: Final answer
    x = 393,192.27

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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.