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Finding the Third Proportional to 167,661 and 253,658

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Solution

The third proportional to 167,661 and 253,658 is: 383,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,661 : 253,658 = 253,658 : x
  2. Step 2: Convert to fraction form
    167,661/253,658 = 253,658/x
  3. Step 3: Cross multiply
    167,661x = 253,658 × 253,658
  4. Step 4: Simplify right side
    167,661x = 64,342,380,964
  5. Step 5: Solve for x
    x = 64,342,380,964/167,661
  6. Step 6: Final answer
    x = 383,764.75

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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.