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Finding the Third Proportional to 166,524 and 253,932

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Solution

The third proportional to 166,524 and 253,932 is: 387,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,524 : 253,932 = 253,932 : x
  2. Step 2: Convert to fraction form
    166,524/253,932 = 253,932/x
  3. Step 3: Cross multiply
    166,524x = 253,932 × 253,932
  4. Step 4: Simplify right side
    166,524x = 64,481,460,624
  5. Step 5: Solve for x
    x = 64,481,460,624/166,524
  6. Step 6: Final answer
    x = 387,220.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.