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Finding the Third Proportional to 167,980 and 363,068

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Solution

The third proportional to 167,980 and 363,068 is: 784,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,980 : 363,068 = 363,068 : x
  2. Step 2: Convert to fraction form
    167,980/363,068 = 363,068/x
  3. Step 3: Cross multiply
    167,980x = 363,068 × 363,068
  4. Step 4: Simplify right side
    167,980x = 131,818,372,624
  5. Step 5: Solve for x
    x = 131,818,372,624/167,980
  6. Step 6: Final answer
    x = 784,726.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.