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Finding the Third Proportional to 174,866 and 262,301

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Solution

The third proportional to 174,866 and 262,301 is: 393,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,866 : 262,301 = 262,301 : x
  2. Step 2: Convert to fraction form
    174,866/262,301 = 262,301/x
  3. Step 3: Cross multiply
    174,866x = 262,301 × 262,301
  4. Step 4: Simplify right side
    174,866x = 68,801,814,601
  5. Step 5: Solve for x
    x = 68,801,814,601/174,866
  6. Step 6: Final answer
    x = 393,454.50

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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.