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Finding the Third Proportional to 120,596 and 244,476

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Solution

The third proportional to 120,596 and 244,476 is: 495,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,596 : 244,476 = 244,476 : x
  2. Step 2: Convert to fraction form
    120,596/244,476 = 244,476/x
  3. Step 3: Cross multiply
    120,596x = 244,476 × 244,476
  4. Step 4: Simplify right side
    120,596x = 59,768,514,576
  5. Step 5: Solve for x
    x = 59,768,514,576/120,596
  6. Step 6: Final answer
    x = 495,609.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.