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Finding the Third Proportional to 102,449 and 222,394

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Solution

The third proportional to 102,449 and 222,394 is: 482,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,449 : 222,394 = 222,394 : x
  2. Step 2: Convert to fraction form
    102,449/222,394 = 222,394/x
  3. Step 3: Cross multiply
    102,449x = 222,394 × 222,394
  4. Step 4: Simplify right side
    102,449x = 49,459,091,236
  5. Step 5: Solve for x
    x = 49,459,091,236/102,449
  6. Step 6: Final answer
    x = 482,767.93

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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.