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Finding the Third Proportional to 144,940 and 200,274

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Solution

The third proportional to 144,940 and 200,274 is: 276,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,940 : 200,274 = 200,274 : x
  2. Step 2: Convert to fraction form
    144,940/200,274 = 200,274/x
  3. Step 3: Cross multiply
    144,940x = 200,274 × 200,274
  4. Step 4: Simplify right side
    144,940x = 40,109,675,076
  5. Step 5: Solve for x
    x = 40,109,675,076/144,940
  6. Step 6: Final answer
    x = 276,732.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.