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Finding the Third Proportional to 104,498 and 222,308

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Solution

The third proportional to 104,498 and 222,308 is: 472,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,498 : 222,308 = 222,308 : x
  2. Step 2: Convert to fraction form
    104,498/222,308 = 222,308/x
  3. Step 3: Cross multiply
    104,498x = 222,308 × 222,308
  4. Step 4: Simplify right side
    104,498x = 49,420,846,864
  5. Step 5: Solve for x
    x = 49,420,846,864/104,498
  6. Step 6: Final answer
    x = 472,935.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.