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Finding the Third Proportional to 167,680 and 364,952

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Solution

The third proportional to 167,680 and 364,952 is: 794,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,680 : 364,952 = 364,952 : x
  2. Step 2: Convert to fraction form
    167,680/364,952 = 364,952/x
  3. Step 3: Cross multiply
    167,680x = 364,952 × 364,952
  4. Step 4: Simplify right side
    167,680x = 133,189,962,304
  5. Step 5: Solve for x
    x = 133,189,962,304/167,680
  6. Step 6: Final answer
    x = 794,310.37

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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.