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Finding the Third Proportional to 120,320 and 261,872

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Solution

The third proportional to 120,320 and 261,872 is: 569,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,320 : 261,872 = 261,872 : x
  2. Step 2: Convert to fraction form
    120,320/261,872 = 261,872/x
  3. Step 3: Cross multiply
    120,320x = 261,872 × 261,872
  4. Step 4: Simplify right side
    120,320x = 68,576,944,384
  5. Step 5: Solve for x
    x = 68,576,944,384/120,320
  6. Step 6: Final answer
    x = 569,954.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.