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Finding the Third Proportional to 167,162 and 369,316

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Solution

The third proportional to 167,162 and 369,316 is: 815,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,162 : 369,316 = 369,316 : x
  2. Step 2: Convert to fraction form
    167,162/369,316 = 369,316/x
  3. Step 3: Cross multiply
    167,162x = 369,316 × 369,316
  4. Step 4: Simplify right side
    167,162x = 136,394,307,856
  5. Step 5: Solve for x
    x = 136,394,307,856/167,162
  6. Step 6: Final answer
    x = 815,940.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.