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Finding the Third Proportional to 205,174 and 320,722

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Solution

The third proportional to 205,174 and 320,722 is: 501,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,174 : 320,722 = 320,722 : x
  2. Step 2: Convert to fraction form
    205,174/320,722 = 320,722/x
  3. Step 3: Cross multiply
    205,174x = 320,722 × 320,722
  4. Step 4: Simplify right side
    205,174x = 102,862,601,284
  5. Step 5: Solve for x
    x = 102,862,601,284/205,174
  6. Step 6: Final answer
    x = 501,343.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.