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Finding the Third Proportional to 164,027.25 and 267,840

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Solution

The third proportional to 164,027.25 and 267,840 is: 437,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,027.25 : 267,840 = 267,840 : x
  2. Step 2: Convert to fraction form
    164,027.25/267,840 = 267,840/x
  3. Step 3: Cross multiply
    164,027.25x = 267,840 × 267,840
  4. Step 4: Simplify right side
    164,027.25x = 71,738,265,600
  5. Step 5: Solve for x
    x = 71,738,265,600/164,027.25
  6. Step 6: Final answer
    x = 437,355.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.