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Finding the Third Proportional to 267,789.94 and 367,202.25

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Solution

The third proportional to 267,789.94 and 367,202.25 is: 503,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,789.94 : 367,202.25 = 367,202.25 : x
  2. Step 2: Convert to fraction form
    267,789.94/367,202.25 = 367,202.25/x
  3. Step 3: Cross multiply
    267,789.94x = 367,202.25 × 367,202.25
  4. Step 4: Simplify right side
    267,789.94x = 134,837,492,405.06
  5. Step 5: Solve for x
    x = 134,837,492,405.06/267,789.94
  6. Step 6: Final answer
    x = 503,519.64

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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.