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Finding the Third Proportional to 206,460 and 301,722

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Solution

The third proportional to 206,460 and 301,722 is: 440,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,460 : 301,722 = 301,722 : x
  2. Step 2: Convert to fraction form
    206,460/301,722 = 301,722/x
  3. Step 3: Cross multiply
    206,460x = 301,722 × 301,722
  4. Step 4: Simplify right side
    206,460x = 91,036,165,284
  5. Step 5: Solve for x
    x = 91,036,165,284/206,460
  6. Step 6: Final answer
    x = 440,938.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.