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Finding the Third Proportional to 222,785.44 and 296,968.78

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Solution

The third proportional to 222,785.44 and 296,968.78 is: 395,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,785.44 : 296,968.78 = 296,968.78 : x
  2. Step 2: Convert to fraction form
    222,785.44/296,968.78 = 296,968.78/x
  3. Step 3: Cross multiply
    222,785.44x = 296,968.78 × 296,968.78
  4. Step 4: Simplify right side
    222,785.44x = 88,190,457,037.11
  5. Step 5: Solve for x
    x = 88,190,457,037.11/222,785.44
  6. Step 6: Final answer
    x = 395,853.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.