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Finding the Third Proportional to 167,126 and 364,740

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Solution

The third proportional to 167,126 and 364,740 is: 796,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,126 : 364,740 = 364,740 : x
  2. Step 2: Convert to fraction form
    167,126/364,740 = 364,740/x
  3. Step 3: Cross multiply
    167,126x = 364,740 × 364,740
  4. Step 4: Simplify right side
    167,126x = 133,035,267,600
  5. Step 5: Solve for x
    x = 133,035,267,600/167,126
  6. Step 6: Final answer
    x = 796,017.78

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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.