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Finding the Third Proportional to 167,244 and 404,496

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Solution

The third proportional to 167,244 and 404,496 is: 978,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,244 : 404,496 = 404,496 : x
  2. Step 2: Convert to fraction form
    167,244/404,496 = 404,496/x
  3. Step 3: Cross multiply
    167,244x = 404,496 × 404,496
  4. Step 4: Simplify right side
    167,244x = 163,617,014,016
  5. Step 5: Solve for x
    x = 163,617,014,016/167,244
  6. Step 6: Final answer
    x = 978,313.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.