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Finding the Third Proportional to 222,648 and 344,796

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Solution

The third proportional to 222,648 and 344,796 is: 533,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,648 : 344,796 = 344,796 : x
  2. Step 2: Convert to fraction form
    222,648/344,796 = 344,796/x
  3. Step 3: Cross multiply
    222,648x = 344,796 × 344,796
  4. Step 4: Simplify right side
    222,648x = 118,884,281,616
  5. Step 5: Solve for x
    x = 118,884,281,616/222,648
  6. Step 6: Final answer
    x = 533,956.21

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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.