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Finding the Third Proportional to 167,548 and 364,184

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Solution

The third proportional to 167,548 and 364,184 is: 791,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,548 : 364,184 = 364,184 : x
  2. Step 2: Convert to fraction form
    167,548/364,184 = 364,184/x
  3. Step 3: Cross multiply
    167,548x = 364,184 × 364,184
  4. Step 4: Simplify right side
    167,548x = 132,629,985,856
  5. Step 5: Solve for x
    x = 132,629,985,856/167,548
  6. Step 6: Final answer
    x = 791,593.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.