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Finding the Third Proportional to 104,162 and 224,146

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Solution

The third proportional to 104,162 and 224,146 is: 482,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,162 : 224,146 = 224,146 : x
  2. Step 2: Convert to fraction form
    104,162/224,146 = 224,146/x
  3. Step 3: Cross multiply
    104,162x = 224,146 × 224,146
  4. Step 4: Simplify right side
    104,162x = 50,241,429,316
  5. Step 5: Solve for x
    x = 50,241,429,316/104,162
  6. Step 6: Final answer
    x = 482,339.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.