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Finding the Third Proportional to 167,362 and 364,252

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Solution

The third proportional to 167,362 and 364,252 is: 792,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,362 : 364,252 = 364,252 : x
  2. Step 2: Convert to fraction form
    167,362/364,252 = 364,252/x
  3. Step 3: Cross multiply
    167,362x = 364,252 × 364,252
  4. Step 4: Simplify right side
    167,362x = 132,679,519,504
  5. Step 5: Solve for x
    x = 132,679,519,504/167,362
  6. Step 6: Final answer
    x = 792,769.68

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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.