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Finding the Third Proportional to 102,304 and 222,104

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Solution

The third proportional to 102,304 and 222,104 is: 482,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,304 : 222,104 = 222,104 : x
  2. Step 2: Convert to fraction form
    102,304/222,104 = 222,104/x
  3. Step 3: Cross multiply
    102,304x = 222,104 × 222,104
  4. Step 4: Simplify right side
    102,304x = 49,330,186,816
  5. Step 5: Solve for x
    x = 49,330,186,816/102,304
  6. Step 6: Final answer
    x = 482,192.16

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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.