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Finding the Third Proportional to 167,894 and 365,326

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Solution

The third proportional to 167,894 and 365,326 is: 794,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,894 : 365,326 = 365,326 : x
  2. Step 2: Convert to fraction form
    167,894/365,326 = 365,326/x
  3. Step 3: Cross multiply
    167,894x = 365,326 × 365,326
  4. Step 4: Simplify right side
    167,894x = 133,463,086,276
  5. Step 5: Solve for x
    x = 133,463,086,276/167,894
  6. Step 6: Final answer
    x = 794,924.69

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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.