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Finding the Third Proportional to 194,005.13 and 283,474.69

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Solution

The third proportional to 194,005.13 and 283,474.69 is: 414,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,005.13 : 283,474.69 = 283,474.69 : x
  2. Step 2: Convert to fraction form
    194,005.13/283,474.69 = 283,474.69/x
  3. Step 3: Cross multiply
    194,005.13x = 283,474.69 × 283,474.69
  4. Step 4: Simplify right side
    194,005.13x = 80,357,898,453.22
  5. Step 5: Solve for x
    x = 80,357,898,453.22/194,005.13
  6. Step 6: Final answer
    x = 414,205.03

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