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Finding the Third Proportional to 168,806 and 263,577

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Solution

The third proportional to 168,806 and 263,577 is: 411,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,806 : 263,577 = 263,577 : x
  2. Step 2: Convert to fraction form
    168,806/263,577 = 263,577/x
  3. Step 3: Cross multiply
    168,806x = 263,577 × 263,577
  4. Step 4: Simplify right side
    168,806x = 69,472,834,929
  5. Step 5: Solve for x
    x = 69,472,834,929/168,806
  6. Step 6: Final answer
    x = 411,554.30

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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.