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Finding the Third Proportional to 203,577 and 267,702

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Solution

The third proportional to 203,577 and 267,702 is: 352,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,577 : 267,702 = 267,702 : x
  2. Step 2: Convert to fraction form
    203,577/267,702 = 267,702/x
  3. Step 3: Cross multiply
    203,577x = 267,702 × 267,702
  4. Step 4: Simplify right side
    203,577x = 71,664,360,804
  5. Step 5: Solve for x
    x = 71,664,360,804/203,577
  6. Step 6: Final answer
    x = 352,025.82

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.