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Finding the Third Proportional to 222,816 and 331,488

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Solution

The third proportional to 222,816 and 331,488 is: 493,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,816 : 331,488 = 331,488 : x
  2. Step 2: Convert to fraction form
    222,816/331,488 = 331,488/x
  3. Step 3: Cross multiply
    222,816x = 331,488 × 331,488
  4. Step 4: Simplify right side
    222,816x = 109,884,294,144
  5. Step 5: Solve for x
    x = 109,884,294,144/222,816
  6. Step 6: Final answer
    x = 493,161.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.