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Finding the Third Proportional to 120,960 and 277,632

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Solution

The third proportional to 120,960 and 277,632 is: 637,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,960 : 277,632 = 277,632 : x
  2. Step 2: Convert to fraction form
    120,960/277,632 = 277,632/x
  3. Step 3: Cross multiply
    120,960x = 277,632 × 277,632
  4. Step 4: Simplify right side
    120,960x = 77,079,527,424
  5. Step 5: Solve for x
    x = 77,079,527,424/120,960
  6. Step 6: Final answer
    x = 637,231.54

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.