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Finding the Third Proportional to 120,096 and 261,330

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Solution

The third proportional to 120,096 and 261,330 is: 568,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,096 : 261,330 = 261,330 : x
  2. Step 2: Convert to fraction form
    120,096/261,330 = 261,330/x
  3. Step 3: Cross multiply
    120,096x = 261,330 × 261,330
  4. Step 4: Simplify right side
    120,096x = 68,293,368,900
  5. Step 5: Solve for x
    x = 68,293,368,900/120,096
  6. Step 6: Final answer
    x = 568,656.48

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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.