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Finding the Third Proportional to 164,652 and 250,530

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Solution

The third proportional to 164,652 and 250,530 is: 381,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,652 : 250,530 = 250,530 : x
  2. Step 2: Convert to fraction form
    164,652/250,530 = 250,530/x
  3. Step 3: Cross multiply
    164,652x = 250,530 × 250,530
  4. Step 4: Simplify right side
    164,652x = 62,765,280,900
  5. Step 5: Solve for x
    x = 62,765,280,900/164,652
  6. Step 6: Final answer
    x = 381,199.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.