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Finding the Third Proportional to 167,155 and 364,792

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Solution

The third proportional to 167,155 and 364,792 is: 796,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,155 : 364,792 = 364,792 : x
  2. Step 2: Convert to fraction form
    167,155/364,792 = 364,792/x
  3. Step 3: Cross multiply
    167,155x = 364,792 × 364,792
  4. Step 4: Simplify right side
    167,155x = 133,073,203,264
  5. Step 5: Solve for x
    x = 133,073,203,264/167,155
  6. Step 6: Final answer
    x = 796,106.63

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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.