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Finding the Third Proportional to 204,536 and 313,946

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Solution

The third proportional to 204,536 and 313,946 is: 481,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,536 : 313,946 = 313,946 : x
  2. Step 2: Convert to fraction form
    204,536/313,946 = 313,946/x
  3. Step 3: Cross multiply
    204,536x = 313,946 × 313,946
  4. Step 4: Simplify right side
    204,536x = 98,562,090,916
  5. Step 5: Solve for x
    x = 98,562,090,916/204,536
  6. Step 6: Final answer
    x = 481,881.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.