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Finding the Third Proportional to 168,532 and 253,866

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Solution

The third proportional to 168,532 and 253,866 is: 382,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,532 : 253,866 = 253,866 : x
  2. Step 2: Convert to fraction form
    168,532/253,866 = 253,866/x
  3. Step 3: Cross multiply
    168,532x = 253,866 × 253,866
  4. Step 4: Simplify right side
    168,532x = 64,447,945,956
  5. Step 5: Solve for x
    x = 64,447,945,956/168,532
  6. Step 6: Final answer
    x = 382,407.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.