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Finding the Third Proportional to 222,664 and 344,816

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Solution

The third proportional to 222,664 and 344,816 is: 533,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,664 : 344,816 = 344,816 : x
  2. Step 2: Convert to fraction form
    222,664/344,816 = 344,816/x
  3. Step 3: Cross multiply
    222,664x = 344,816 × 344,816
  4. Step 4: Simplify right side
    222,664x = 118,898,073,856
  5. Step 5: Solve for x
    x = 118,898,073,856/222,664
  6. Step 6: Final answer
    x = 533,979.78

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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.