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Finding the Third Proportional to 271,744 and 367,008

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Solution

The third proportional to 271,744 and 367,008 is: 495,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,744 : 367,008 = 367,008 : x
  2. Step 2: Convert to fraction form
    271,744/367,008 = 367,008/x
  3. Step 3: Cross multiply
    271,744x = 367,008 × 367,008
  4. Step 4: Simplify right side
    271,744x = 134,694,872,064
  5. Step 5: Solve for x
    x = 134,694,872,064/271,744
  6. Step 6: Final answer
    x = 495,668.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.