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Finding the Third Proportional to 118,966 and 267,887

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Solution

The third proportional to 118,966 and 267,887 is: 603,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,966 : 267,887 = 267,887 : x
  2. Step 2: Convert to fraction form
    118,966/267,887 = 267,887/x
  3. Step 3: Cross multiply
    118,966x = 267,887 × 267,887
  4. Step 4: Simplify right side
    118,966x = 71,763,444,769
  5. Step 5: Solve for x
    x = 71,763,444,769/118,966
  6. Step 6: Final answer
    x = 603,226.51

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Why These Related Problems?

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