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Finding the Third Proportional to 115,677 and 267,767

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Solution

The third proportional to 115,677 and 267,767 is: 619,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,677 : 267,767 = 267,767 : x
  2. Step 2: Convert to fraction form
    115,677/267,767 = 267,767/x
  3. Step 3: Cross multiply
    115,677x = 267,767 × 267,767
  4. Step 4: Simplify right side
    115,677x = 71,699,166,289
  5. Step 5: Solve for x
    x = 71,699,166,289/115,677
  6. Step 6: Final answer
    x = 619,822.15

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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.