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Finding the Third Proportional to 267,656 and 367,024

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Solution

The third proportional to 267,656 and 367,024 is: 503,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,656 : 367,024 = 367,024 : x
  2. Step 2: Convert to fraction form
    267,656/367,024 = 367,024/x
  3. Step 3: Cross multiply
    267,656x = 367,024 × 367,024
  4. Step 4: Simplify right side
    267,656x = 134,706,616,576
  5. Step 5: Solve for x
    x = 134,706,616,576/267,656
  6. Step 6: Final answer
    x = 503,282.63

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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.