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Finding the Third Proportional to 167,184 and 378,000

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Solution

The third proportional to 167,184 and 378,000 is: 854,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,184 : 378,000 = 378,000 : x
  2. Step 2: Convert to fraction form
    167,184/378,000 = 378,000/x
  3. Step 3: Cross multiply
    167,184x = 378,000 × 378,000
  4. Step 4: Simplify right side
    167,184x = 142,884,000,000
  5. Step 5: Solve for x
    x = 142,884,000,000/167,184
  6. Step 6: Final answer
    x = 854,651.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.