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Finding the Third Proportional to 167,973 and 365,471

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Solution

The third proportional to 167,973 and 365,471 is: 795,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,973 : 365,471 = 365,471 : x
  2. Step 2: Convert to fraction form
    167,973/365,471 = 365,471/x
  3. Step 3: Cross multiply
    167,973x = 365,471 × 365,471
  4. Step 4: Simplify right side
    167,973x = 133,569,051,841
  5. Step 5: Solve for x
    x = 133,569,051,841/167,973
  6. Step 6: Final answer
    x = 795,181.68

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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.