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Finding the Third Proportional to 167,256 and 404,526

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Solution

The third proportional to 167,256 and 404,526 is: 978,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,256 : 404,526 = 404,526 : x
  2. Step 2: Convert to fraction form
    167,256/404,526 = 404,526/x
  3. Step 3: Cross multiply
    167,256x = 404,526 × 404,526
  4. Step 4: Simplify right side
    167,256x = 163,641,284,676
  5. Step 5: Solve for x
    x = 163,641,284,676/167,256
  6. Step 6: Final answer
    x = 978,388.13

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