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Finding the Third Proportional to 267,623 and 366,971

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Solution

The third proportional to 267,623 and 366,971 is: 503,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,623 : 366,971 = 366,971 : x
  2. Step 2: Convert to fraction form
    267,623/366,971 = 366,971/x
  3. Step 3: Cross multiply
    267,623x = 366,971 × 366,971
  4. Step 4: Simplify right side
    267,623x = 134,667,714,841
  5. Step 5: Solve for x
    x = 134,667,714,841/267,623
  6. Step 6: Final answer
    x = 503,199.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.