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Finding the Third Proportional to 131,328 and 200,273

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Solution

The third proportional to 131,328 and 200,273 is: 305,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,328 : 200,273 = 200,273 : x
  2. Step 2: Convert to fraction form
    131,328/200,273 = 200,273/x
  3. Step 3: Cross multiply
    131,328x = 200,273 × 200,273
  4. Step 4: Simplify right side
    131,328x = 40,109,274,529
  5. Step 5: Solve for x
    x = 40,109,274,529/131,328
  6. Step 6: Final answer
    x = 305,412.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.