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Finding the Third Proportional to 194,037.19 and 294,336.28

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Solution

The third proportional to 194,037.19 and 294,336.28 is: 446,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,037.19 : 294,336.28 = 294,336.28 : x
  2. Step 2: Convert to fraction form
    194,037.19/294,336.28 = 294,336.28/x
  3. Step 3: Cross multiply
    194,037.19x = 294,336.28 × 294,336.28
  4. Step 4: Simplify right side
    194,037.19x = 86,633,846,460.08
  5. Step 5: Solve for x
    x = 86,633,846,460.08/194,037.19
  6. Step 6: Final answer
    x = 446,480.63

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