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Finding the Third Proportional to 176,955 and 382,067

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Solution

The third proportional to 176,955 and 382,067 is: 824,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,955 : 382,067 = 382,067 : x
  2. Step 2: Convert to fraction form
    176,955/382,067 = 382,067/x
  3. Step 3: Cross multiply
    176,955x = 382,067 × 382,067
  4. Step 4: Simplify right side
    176,955x = 145,975,192,489
  5. Step 5: Solve for x
    x = 145,975,192,489/176,955
  6. Step 6: Final answer
    x = 824,928.33

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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.