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Finding the Third Proportional to 267,706 and 367,097

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Solution

The third proportional to 267,706 and 367,097 is: 503,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,706 : 367,097 = 367,097 : x
  2. Step 2: Convert to fraction form
    267,706/367,097 = 367,097/x
  3. Step 3: Cross multiply
    267,706x = 367,097 × 367,097
  4. Step 4: Simplify right side
    267,706x = 134,760,207,409
  5. Step 5: Solve for x
    x = 134,760,207,409/267,706
  6. Step 6: Final answer
    x = 503,388.82

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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.