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Finding the Third Proportional to 174,716 and 261,801

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Solution

The third proportional to 174,716 and 261,801 is: 392,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,716 : 261,801 = 261,801 : x
  2. Step 2: Convert to fraction form
    174,716/261,801 = 261,801/x
  3. Step 3: Cross multiply
    174,716x = 261,801 × 261,801
  4. Step 4: Simplify right side
    174,716x = 68,539,763,601
  5. Step 5: Solve for x
    x = 68,539,763,601/174,716
  6. Step 6: Final answer
    x = 392,292.43

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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.