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Finding the Third Proportional to 267,606.28 and 366,964.17

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Solution

The third proportional to 267,606.28 and 366,964.17 is: 503,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,606.28 : 366,964.17 = 366,964.17 : x
  2. Step 2: Convert to fraction form
    267,606.28/366,964.17 = 366,964.17/x
  3. Step 3: Cross multiply
    267,606.28x = 366,964.17 × 366,964.17
  4. Step 4: Simplify right side
    267,606.28x = 134,662,703,439.91
  5. Step 5: Solve for x
    x = 134,662,703,439.91/267,606.28
  6. Step 6: Final answer
    x = 503,212.04

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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.