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Finding the Third Proportional to 192,892 and 289,144

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Solution

The third proportional to 192,892 and 289,144 is: 433,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,892 : 289,144 = 289,144 : x
  2. Step 2: Convert to fraction form
    192,892/289,144 = 289,144/x
  3. Step 3: Cross multiply
    192,892x = 289,144 × 289,144
  4. Step 4: Simplify right side
    192,892x = 83,604,252,736
  5. Step 5: Solve for x
    x = 83,604,252,736/192,892
  6. Step 6: Final answer
    x = 433,425.20

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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.