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Finding the Third Proportional to 194,232.94 and 283,899.94

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Solution

The third proportional to 194,232.94 and 283,899.94 is: 414,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,232.94 : 283,899.94 = 283,899.94 : x
  2. Step 2: Convert to fraction form
    194,232.94/283,899.94 = 283,899.94/x
  3. Step 3: Cross multiply
    194,232.94x = 283,899.94 × 283,899.94
  4. Step 4: Simplify right side
    194,232.94x = 80,599,174,512.50
  5. Step 5: Solve for x
    x = 80,599,174,512.50/194,232.94
  6. Step 6: Final answer
    x = 414,961.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.