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Finding the Third Proportional to 222,818.44 and 329,313.56

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Solution

The third proportional to 222,818.44 and 329,313.56 is: 486,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,818.44 : 329,313.56 = 329,313.56 : x
  2. Step 2: Convert to fraction form
    222,818.44/329,313.56 = 329,313.56/x
  3. Step 3: Cross multiply
    222,818.44x = 329,313.56 × 329,313.56
  4. Step 4: Simplify right side
    222,818.44x = 108,447,422,446.44
  5. Step 5: Solve for x
    x = 108,447,422,446.44/222,818.44
  6. Step 6: Final answer
    x = 486,707.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.