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Finding the Third Proportional to 144,394 and 222,223

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Solution

The third proportional to 144,394 and 222,223 is: 342,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,394 : 222,223 = 222,223 : x
  2. Step 2: Convert to fraction form
    144,394/222,223 = 222,223/x
  3. Step 3: Cross multiply
    144,394x = 222,223 × 222,223
  4. Step 4: Simplify right side
    144,394x = 49,383,061,729
  5. Step 5: Solve for x
    x = 49,383,061,729/144,394
  6. Step 6: Final answer
    x = 342,002.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.