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Finding the Third Proportional to 194,037.56 and 294,336.94

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Solution

The third proportional to 194,037.56 and 294,336.94 is: 446,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,037.56 : 294,336.94 = 294,336.94 : x
  2. Step 2: Convert to fraction form
    194,037.56/294,336.94 = 294,336.94/x
  3. Step 3: Cross multiply
    194,037.56x = 294,336.94 × 294,336.94
  4. Step 4: Simplify right side
    194,037.56x = 86,634,232,776.88
  5. Step 5: Solve for x
    x = 86,634,232,776.88/194,037.56
  6. Step 6: Final answer
    x = 446,481.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.