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Finding the Third Proportional to 167,512 and 364,549

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Solution

The third proportional to 167,512 and 364,549 is: 793,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,512 : 364,549 = 364,549 : x
  2. Step 2: Convert to fraction form
    167,512/364,549 = 364,549/x
  3. Step 3: Cross multiply
    167,512x = 364,549 × 364,549
  4. Step 4: Simplify right side
    167,512x = 132,895,973,401
  5. Step 5: Solve for x
    x = 132,895,973,401/167,512
  6. Step 6: Final answer
    x = 793,351.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.