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Finding the Third Proportional to 123,206 and 267,326

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Solution

The third proportional to 123,206 and 267,326 is: 580,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,206 : 267,326 = 267,326 : x
  2. Step 2: Convert to fraction form
    123,206/267,326 = 267,326/x
  3. Step 3: Cross multiply
    123,206x = 267,326 × 267,326
  4. Step 4: Simplify right side
    123,206x = 71,463,190,276
  5. Step 5: Solve for x
    x = 71,463,190,276/123,206
  6. Step 6: Final answer
    x = 580,030.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.