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Finding the Third Proportional to 167,674 and 253,677

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Solution

The third proportional to 167,674 and 253,677 is: 383,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,674 : 253,677 = 253,677 : x
  2. Step 2: Convert to fraction form
    167,674/253,677 = 253,677/x
  3. Step 3: Cross multiply
    167,674x = 253,677 × 253,677
  4. Step 4: Simplify right side
    167,674x = 64,352,020,329
  5. Step 5: Solve for x
    x = 64,352,020,329/167,674
  6. Step 6: Final answer
    x = 383,792.48

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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.