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Finding the Third Proportional to 118,978 and 267,917

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Solution

The third proportional to 118,978 and 267,917 is: 603,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,978 : 267,917 = 267,917 : x
  2. Step 2: Convert to fraction form
    118,978/267,917 = 267,917/x
  3. Step 3: Cross multiply
    118,978x = 267,917 × 267,917
  4. Step 4: Simplify right side
    118,978x = 71,779,518,889
  5. Step 5: Solve for x
    x = 71,779,518,889/118,978
  6. Step 6: Final answer
    x = 603,300.77

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.