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Finding the Third Proportional to 167,677 and 253,684

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Solution

The third proportional to 167,677 and 253,684 is: 383,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,677 : 253,684 = 253,684 : x
  2. Step 2: Convert to fraction form
    167,677/253,684 = 253,684/x
  3. Step 3: Cross multiply
    167,677x = 253,684 × 253,684
  4. Step 4: Simplify right side
    167,677x = 64,355,571,856
  5. Step 5: Solve for x
    x = 64,355,571,856/167,677
  6. Step 6: Final answer
    x = 383,806.79

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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.