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Finding the Third Proportional to 174,467 and 261,770

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Solution

The third proportional to 174,467 and 261,770 is: 392,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,467 : 261,770 = 261,770 : x
  2. Step 2: Convert to fraction form
    174,467/261,770 = 261,770/x
  3. Step 3: Cross multiply
    174,467x = 261,770 × 261,770
  4. Step 4: Simplify right side
    174,467x = 68,523,532,900
  5. Step 5: Solve for x
    x = 68,523,532,900/174,467
  6. Step 6: Final answer
    x = 392,759.28

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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.