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Finding the Third Proportional to 115,956 and 267,408

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Solution

The third proportional to 115,956 and 267,408 is: 616,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,956 : 267,408 = 267,408 : x
  2. Step 2: Convert to fraction form
    115,956/267,408 = 267,408/x
  3. Step 3: Cross multiply
    115,956x = 267,408 × 267,408
  4. Step 4: Simplify right side
    115,956x = 71,507,038,464
  5. Step 5: Solve for x
    x = 71,507,038,464/115,956
  6. Step 6: Final answer
    x = 616,673.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.