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Finding the Third Proportional to 167,900 and 362,864

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Solution

The third proportional to 167,900 and 362,864 is: 784,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,900 : 362,864 = 362,864 : x
  2. Step 2: Convert to fraction form
    167,900/362,864 = 362,864/x
  3. Step 3: Cross multiply
    167,900x = 362,864 × 362,864
  4. Step 4: Simplify right side
    167,900x = 131,670,282,496
  5. Step 5: Solve for x
    x = 131,670,282,496/167,900
  6. Step 6: Final answer
    x = 784,218.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.