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Finding the Third Proportional to 140,082 and 210,268

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Solution

The third proportional to 140,082 and 210,268 is: 315,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,082 : 210,268 = 210,268 : x
  2. Step 2: Convert to fraction form
    140,082/210,268 = 210,268/x
  3. Step 3: Cross multiply
    140,082x = 210,268 × 210,268
  4. Step 4: Simplify right side
    140,082x = 44,212,631,824
  5. Step 5: Solve for x
    x = 44,212,631,824/140,082
  6. Step 6: Final answer
    x = 315,619.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.