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Finding the Third Proportional to 222,668 and 344,822

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Solution

The third proportional to 222,668 and 344,822 is: 533,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,668 : 344,822 = 344,822 : x
  2. Step 2: Convert to fraction form
    222,668/344,822 = 344,822/x
  3. Step 3: Cross multiply
    222,668x = 344,822 × 344,822
  4. Step 4: Simplify right side
    222,668x = 118,902,211,684
  5. Step 5: Solve for x
    x = 118,902,211,684/222,668
  6. Step 6: Final answer
    x = 533,988.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.