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Finding the Third Proportional to 267,684.75 and 367,046.44

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Solution

The third proportional to 267,684.75 and 367,046.44 is: 503,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,684.75 : 367,046.44 = 367,046.44 : x
  2. Step 2: Convert to fraction form
    267,684.75/367,046.44 = 367,046.44/x
  3. Step 3: Cross multiply
    267,684.75x = 367,046.44 × 367,046.44
  4. Step 4: Simplify right side
    267,684.75x = 134,723,087,281.44
  5. Step 5: Solve for x
    x = 134,723,087,281.44/267,684.75
  6. Step 6: Final answer
    x = 503,290.11

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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.