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Finding the Third Proportional to 167,148 and 364,788

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Solution

The third proportional to 167,148 and 364,788 is: 796,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,148 : 364,788 = 364,788 : x
  2. Step 2: Convert to fraction form
    167,148/364,788 = 364,788/x
  3. Step 3: Cross multiply
    167,148x = 364,788 × 364,788
  4. Step 4: Simplify right side
    167,148x = 133,070,284,944
  5. Step 5: Solve for x
    x = 133,070,284,944/167,148
  6. Step 6: Final answer
    x = 796,122.51

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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.